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Finding the Third Proportional to 37,731.75 and 78,588.75

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Solution

The third proportional to 37,731.75 and 78,588.75 is: 163,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,731.75 : 78,588.75 = 78,588.75 : x
  2. Step 2: Convert to fraction form
    37,731.75/78,588.75 = 78,588.75/x
  3. Step 3: Cross multiply
    37,731.75x = 78,588.75 × 78,588.75
  4. Step 4: Simplify right side
    37,731.75x = 6,176,191,626.56
  5. Step 5: Solve for x
    x = 6,176,191,626.56/37,731.75
  6. Step 6: Final answer
    x = 163,686.86

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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.