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Finding the Third Proportional to 14,282 and 29,857

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Solution

The third proportional to 14,282 and 29,857 is: 62,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282 : 29,857 = 29,857 : x
  2. Step 2: Convert to fraction form
    14,282/29,857 = 29,857/x
  3. Step 3: Cross multiply
    14,282x = 29,857 × 29,857
  4. Step 4: Simplify right side
    14,282x = 891,440,449
  5. Step 5: Solve for x
    x = 891,440,449/14,282
  6. Step 6: Final answer
    x = 62,417.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.