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Finding the Third Proportional to 18,677 and 29,051

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Solution

The third proportional to 18,677 and 29,051 is: 45,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,677 : 29,051 = 29,051 : x
  2. Step 2: Convert to fraction form
    18,677/29,051 = 29,051/x
  3. Step 3: Cross multiply
    18,677x = 29,051 × 29,051
  4. Step 4: Simplify right side
    18,677x = 843,960,601
  5. Step 5: Solve for x
    x = 843,960,601/18,677
  6. Step 6: Final answer
    x = 45,187.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.