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Finding the Third Proportional to 14,902 and 29,423

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Solution

The third proportional to 14,902 and 29,423 is: 58,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902 : 29,423 = 29,423 : x
  2. Step 2: Convert to fraction form
    14,902/29,423 = 29,423/x
  3. Step 3: Cross multiply
    14,902x = 29,423 × 29,423
  4. Step 4: Simplify right side
    14,902x = 865,712,929
  5. Step 5: Solve for x
    x = 865,712,929/14,902
  6. Step 6: Final answer
    x = 58,093.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.