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Finding the Third Proportional to 35,760.38 and 78,522.75

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Solution

The third proportional to 35,760.38 and 78,522.75 is: 172,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,760.38 : 78,522.75 = 78,522.75 : x
  2. Step 2: Convert to fraction form
    35,760.38/78,522.75 = 78,522.75/x
  3. Step 3: Cross multiply
    35,760.38x = 78,522.75 × 78,522.75
  4. Step 4: Simplify right side
    35,760.38x = 6,165,822,267.56
  5. Step 5: Solve for x
    x = 6,165,822,267.56/35,760.38
  6. Step 6: Final answer
    x = 172,420.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.