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Finding the Third Proportional to 32,279 and 47,361

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Solution

The third proportional to 32,279 and 47,361 is: 69,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,279 : 47,361 = 47,361 : x
  2. Step 2: Convert to fraction form
    32,279/47,361 = 47,361/x
  3. Step 3: Cross multiply
    32,279x = 47,361 × 47,361
  4. Step 4: Simplify right side
    32,279x = 2,243,064,321
  5. Step 5: Solve for x
    x = 2,243,064,321/32,279
  6. Step 6: Final answer
    x = 69,489.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.