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Finding the Third Proportional to 38,715 and 57,920.50

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Solution

The third proportional to 38,715 and 57,920.50 is: 86,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,715 : 57,920.50 = 57,920.50 : x
  2. Step 2: Convert to fraction form
    38,715/57,920.50 = 57,920.50/x
  3. Step 3: Cross multiply
    38,715x = 57,920.50 × 57,920.50
  4. Step 4: Simplify right side
    38,715x = 3,354,784,320.25
  5. Step 5: Solve for x
    x = 3,354,784,320.25/38,715
  6. Step 6: Final answer
    x = 86,653.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.