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Finding the Third Proportional to 32,972 and 52,421

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Solution

The third proportional to 32,972 and 52,421 is: 83,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972 : 52,421 = 52,421 : x
  2. Step 2: Convert to fraction form
    32,972/52,421 = 52,421/x
  3. Step 3: Cross multiply
    32,972x = 52,421 × 52,421
  4. Step 4: Simplify right side
    32,972x = 2,747,961,241
  5. Step 5: Solve for x
    x = 2,747,961,241/32,972
  6. Step 6: Final answer
    x = 83,342.27

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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.