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Finding the Third Proportional to 31,306 and 47,732

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Solution

The third proportional to 31,306 and 47,732 is: 72,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,306 : 47,732 = 47,732 : x
  2. Step 2: Convert to fraction form
    31,306/47,732 = 47,732/x
  3. Step 3: Cross multiply
    31,306x = 47,732 × 47,732
  4. Step 4: Simplify right side
    31,306x = 2,278,343,824
  5. Step 5: Solve for x
    x = 2,278,343,824/31,306
  6. Step 6: Final answer
    x = 72,776.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.