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Finding the Third Proportional to 42,882.75 and 63,699.75

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Solution

The third proportional to 42,882.75 and 63,699.75 is: 94,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,882.75 : 63,699.75 = 63,699.75 : x
  2. Step 2: Convert to fraction form
    42,882.75/63,699.75 = 63,699.75/x
  3. Step 3: Cross multiply
    42,882.75x = 63,699.75 × 63,699.75
  4. Step 4: Simplify right side
    42,882.75x = 4,057,658,150.06
  5. Step 5: Solve for x
    x = 4,057,658,150.06/42,882.75
  6. Step 6: Final answer
    x = 94,622.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.