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Finding the Third Proportional to 15,198.57 and 24,280.17

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Solution

The third proportional to 15,198.57 and 24,280.17 is: 38,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.57 : 24,280.17 = 24,280.17 : x
  2. Step 2: Convert to fraction form
    15,198.57/24,280.17 = 24,280.17/x
  3. Step 3: Cross multiply
    15,198.57x = 24,280.17 × 24,280.17
  4. Step 4: Simplify right side
    15,198.57x = 589,526,746.28
  5. Step 5: Solve for x
    x = 589,526,746.28/15,198.57
  6. Step 6: Final answer
    x = 38,788.29

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.