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Finding the Third Proportional to 19,399 and 29,459

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Solution

The third proportional to 19,399 and 29,459 is: 44,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,399 : 29,459 = 29,459 : x
  2. Step 2: Convert to fraction form
    19,399/29,459 = 29,459/x
  3. Step 3: Cross multiply
    19,399x = 29,459 × 29,459
  4. Step 4: Simplify right side
    19,399x = 867,832,681
  5. Step 5: Solve for x
    x = 867,832,681/19,399
  6. Step 6: Final answer
    x = 44,735.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.