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Finding the Third Proportional to 32,332 and 47,242

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Solution

The third proportional to 32,332 and 47,242 is: 69,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,332 : 47,242 = 47,242 : x
  2. Step 2: Convert to fraction form
    32,332/47,242 = 47,242/x
  3. Step 3: Cross multiply
    32,332x = 47,242 × 47,242
  4. Step 4: Simplify right side
    32,332x = 2,231,806,564
  5. Step 5: Solve for x
    x = 2,231,806,564/32,332
  6. Step 6: Final answer
    x = 69,027.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.