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Finding the Third Proportional to 39,120 and 58,862.50

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Solution

The third proportional to 39,120 and 58,862.50 is: 88,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,120 : 58,862.50 = 58,862.50 : x
  2. Step 2: Convert to fraction form
    39,120/58,862.50 = 58,862.50/x
  3. Step 3: Cross multiply
    39,120x = 58,862.50 × 58,862.50
  4. Step 4: Simplify right side
    39,120x = 3,464,793,906.25
  5. Step 5: Solve for x
    x = 3,464,793,906.25/39,120
  6. Step 6: Final answer
    x = 88,568.35

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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.