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Finding the Third Proportional to 35,710.13 and 78,425.25

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Solution

The third proportional to 35,710.13 and 78,425.25 is: 172,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,710.13 : 78,425.25 = 78,425.25 : x
  2. Step 2: Convert to fraction form
    35,710.13/78,425.25 = 78,425.25/x
  3. Step 3: Cross multiply
    35,710.13x = 78,425.25 × 78,425.25
  4. Step 4: Simplify right side
    35,710.13x = 6,150,519,837.56
  5. Step 5: Solve for x
    x = 6,150,519,837.56/35,710.13
  6. Step 6: Final answer
    x = 172,234.62

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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.