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Finding the Third Proportional to 34,360.50 and 74,552

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Solution

The third proportional to 34,360.50 and 74,552 is: 161,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,360.50 : 74,552 = 74,552 : x
  2. Step 2: Convert to fraction form
    34,360.50/74,552 = 74,552/x
  3. Step 3: Cross multiply
    34,360.50x = 74,552 × 74,552
  4. Step 4: Simplify right side
    34,360.50x = 5,558,000,704
  5. Step 5: Solve for x
    x = 5,558,000,704/34,360.50
  6. Step 6: Final answer
    x = 161,755.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.