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Finding the Third Proportional to 18,032 and 39,410

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Solution

The third proportional to 18,032 and 39,410 is: 86,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,032 : 39,410 = 39,410 : x
  2. Step 2: Convert to fraction form
    18,032/39,410 = 39,410/x
  3. Step 3: Cross multiply
    18,032x = 39,410 × 39,410
  4. Step 4: Simplify right side
    18,032x = 1,553,148,100
  5. Step 5: Solve for x
    x = 1,553,148,100/18,032
  6. Step 6: Final answer
    x = 86,132.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.