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Finding the Third Proportional to 19,498 and 29,117

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Solution

The third proportional to 19,498 and 29,117 is: 43,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498 : 29,117 = 29,117 : x
  2. Step 2: Convert to fraction form
    19,498/29,117 = 29,117/x
  3. Step 3: Cross multiply
    19,498x = 29,117 × 29,117
  4. Step 4: Simplify right side
    19,498x = 847,799,689
  5. Step 5: Solve for x
    x = 847,799,689/19,498
  6. Step 6: Final answer
    x = 43,481.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.