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Finding the Third Proportional to 42,857.25 and 62,610.38

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Solution

The third proportional to 42,857.25 and 62,610.38 is: 91,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857.25 : 62,610.38 = 62,610.38 : x
  2. Step 2: Convert to fraction form
    42,857.25/62,610.38 = 62,610.38/x
  3. Step 3: Cross multiply
    42,857.25x = 62,610.38 × 62,610.38
  4. Step 4: Simplify right side
    42,857.25x = 3,920,059,057.64
  5. Step 5: Solve for x
    x = 3,920,059,057.64/42,857.25
  6. Step 6: Final answer
    x = 91,467.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.