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Finding the Third Proportional to 32,972 and 52,423

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Solution

The third proportional to 32,972 and 52,423 is: 83,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972 : 52,423 = 52,423 : x
  2. Step 2: Convert to fraction form
    32,972/52,423 = 52,423/x
  3. Step 3: Cross multiply
    32,972x = 52,423 × 52,423
  4. Step 4: Simplify right side
    32,972x = 2,748,170,929
  5. Step 5: Solve for x
    x = 2,748,170,929/32,972
  6. Step 6: Final answer
    x = 83,348.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.