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Finding the Third Proportional to 8,306 and 14,349

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Solution

The third proportional to 8,306 and 14,349 is: 24,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306 : 14,349 = 14,349 : x
  2. Step 2: Convert to fraction form
    8,306/14,349 = 14,349/x
  3. Step 3: Cross multiply
    8,306x = 14,349 × 14,349
  4. Step 4: Simplify right side
    8,306x = 205,893,801
  5. Step 5: Solve for x
    x = 205,893,801/8,306
  6. Step 6: Final answer
    x = 24,788.56

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.