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Finding the Third Proportional to 15,781.50 and 34,155

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Solution

The third proportional to 15,781.50 and 34,155 is: 73,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.50 : 34,155 = 34,155 : x
  2. Step 2: Convert to fraction form
    15,781.50/34,155 = 34,155/x
  3. Step 3: Cross multiply
    15,781.50x = 34,155 × 34,155
  4. Step 4: Simplify right side
    15,781.50x = 1,166,564,025
  5. Step 5: Solve for x
    x = 1,166,564,025/15,781.50
  6. Step 6: Final answer
    x = 73,919.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.