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Finding the Third Proportional to 39,792 and 59,788.50

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Solution

The third proportional to 39,792 and 59,788.50 is: 89,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,792 : 59,788.50 = 59,788.50 : x
  2. Step 2: Convert to fraction form
    39,792/59,788.50 = 59,788.50/x
  3. Step 3: Cross multiply
    39,792x = 59,788.50 × 59,788.50
  4. Step 4: Simplify right side
    39,792x = 3,574,664,732.25
  5. Step 5: Solve for x
    x = 3,574,664,732.25/39,792
  6. Step 6: Final answer
    x = 89,833.75

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