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Finding the Third Proportional to 32,267 and 47,342

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Solution

The third proportional to 32,267 and 47,342 is: 69,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,267 : 47,342 = 47,342 : x
  2. Step 2: Convert to fraction form
    32,267/47,342 = 47,342/x
  3. Step 3: Cross multiply
    32,267x = 47,342 × 47,342
  4. Step 4: Simplify right side
    32,267x = 2,241,264,964
  5. Step 5: Solve for x
    x = 2,241,264,964/32,267
  6. Step 6: Final answer
    x = 69,459.97

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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.