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Finding the Third Proportional to 15,999.19 and 37,378.13

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Solution

The third proportional to 15,999.19 and 37,378.13 is: 87,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.19 : 37,378.13 = 37,378.13 : x
  2. Step 2: Convert to fraction form
    15,999.19/37,378.13 = 37,378.13/x
  3. Step 3: Cross multiply
    15,999.19x = 37,378.13 × 37,378.13
  4. Step 4: Simplify right side
    15,999.19x = 1,397,124,228.52
  5. Step 5: Solve for x
    x = 1,397,124,228.52/15,999.19
  6. Step 6: Final answer
    x = 87,324.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.