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Finding the Third Proportional to 6,287 and 13,564

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Solution

The third proportional to 6,287 and 13,564 is: 29,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287 : 13,564 = 13,564 : x
  2. Step 2: Convert to fraction form
    6,287/13,564 = 13,564/x
  3. Step 3: Cross multiply
    6,287x = 13,564 × 13,564
  4. Step 4: Simplify right side
    6,287x = 183,982,096
  5. Step 5: Solve for x
    x = 183,982,096/6,287
  6. Step 6: Final answer
    x = 29,263.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.