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Finding the Third Proportional to 19,498 and 29,495

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Solution

The third proportional to 19,498 and 29,495 is: 44,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498 : 29,495 = 29,495 : x
  2. Step 2: Convert to fraction form
    19,498/29,495 = 29,495/x
  3. Step 3: Cross multiply
    19,498x = 29,495 × 29,495
  4. Step 4: Simplify right side
    19,498x = 869,955,025
  5. Step 5: Solve for x
    x = 869,955,025/19,498
  6. Step 6: Final answer
    x = 44,617.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.