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Finding the Third Proportional to 42,531.75 and 52,008.75

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Solution

The third proportional to 42,531.75 and 52,008.75 is: 63,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,531.75 : 52,008.75 = 52,008.75 : x
  2. Step 2: Convert to fraction form
    42,531.75/52,008.75 = 52,008.75/x
  3. Step 3: Cross multiply
    42,531.75x = 52,008.75 × 52,008.75
  4. Step 4: Simplify right side
    42,531.75x = 2,704,910,076.56
  5. Step 5: Solve for x
    x = 2,704,910,076.56/42,531.75
  6. Step 6: Final answer
    x = 63,597.43

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.