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Finding the Third Proportional to 37,216.13 and 77,586.19

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Solution

The third proportional to 37,216.13 and 77,586.19 is: 161,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,216.13 : 77,586.19 = 77,586.19 : x
  2. Step 2: Convert to fraction form
    37,216.13/77,586.19 = 77,586.19/x
  3. Step 3: Cross multiply
    37,216.13x = 77,586.19 × 77,586.19
  4. Step 4: Simplify right side
    37,216.13x = 6,019,616,490.79
  5. Step 5: Solve for x
    x = 6,019,616,490.79/37,216.13
  6. Step 6: Final answer
    x = 161,747.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.