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Finding the Third Proportional to 29,498 and 62,323

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Solution

The third proportional to 29,498 and 62,323 is: 131,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,498 : 62,323 = 62,323 : x
  2. Step 2: Convert to fraction form
    29,498/62,323 = 62,323/x
  3. Step 3: Cross multiply
    29,498x = 62,323 × 62,323
  4. Step 4: Simplify right side
    29,498x = 3,884,156,329
  5. Step 5: Solve for x
    x = 3,884,156,329/29,498
  6. Step 6: Final answer
    x = 131,675.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.