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Finding the Third Proportional to 19,147 and 29,681

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Solution

The third proportional to 19,147 and 29,681 is: 46,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,147 : 29,681 = 29,681 : x
  2. Step 2: Convert to fraction form
    19,147/29,681 = 29,681/x
  3. Step 3: Cross multiply
    19,147x = 29,681 × 29,681
  4. Step 4: Simplify right side
    19,147x = 880,961,761
  5. Step 5: Solve for x
    x = 880,961,761/19,147
  6. Step 6: Final answer
    x = 46,010.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.