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Finding the Third Proportional to 31,522 and 42,059

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Solution

The third proportional to 31,522 and 42,059 is: 56,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,522 : 42,059 = 42,059 : x
  2. Step 2: Convert to fraction form
    31,522/42,059 = 42,059/x
  3. Step 3: Cross multiply
    31,522x = 42,059 × 42,059
  4. Step 4: Simplify right side
    31,522x = 1,768,959,481
  5. Step 5: Solve for x
    x = 1,768,959,481/31,522
  6. Step 6: Final answer
    x = 56,118.25

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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.