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Finding the Third Proportional to 32,924 and 52,302

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Solution

The third proportional to 32,924 and 52,302 is: 83,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924 : 52,302 = 52,302 : x
  2. Step 2: Convert to fraction form
    32,924/52,302 = 52,302/x
  3. Step 3: Cross multiply
    32,924x = 52,302 × 52,302
  4. Step 4: Simplify right side
    32,924x = 2,735,499,204
  5. Step 5: Solve for x
    x = 2,735,499,204/32,924
  6. Step 6: Final answer
    x = 83,085.26

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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.