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Finding the Third Proportional to 42,353.25 and 56,463.75

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Solution

The third proportional to 42,353.25 and 56,463.75 is: 75,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,353.25 : 56,463.75 = 56,463.75 : x
  2. Step 2: Convert to fraction form
    42,353.25/56,463.75 = 56,463.75/x
  3. Step 3: Cross multiply
    42,353.25x = 56,463.75 × 56,463.75
  4. Step 4: Simplify right side
    42,353.25x = 3,188,155,064.06
  5. Step 5: Solve for x
    x = 3,188,155,064.06/42,353.25
  6. Step 6: Final answer
    x = 75,275.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.