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Finding the Third Proportional to 6,537 and 12,747

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Solution

The third proportional to 6,537 and 12,747 is: 24,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 12,747 = 12,747 : x
  2. Step 2: Convert to fraction form
    6,537/12,747 = 12,747/x
  3. Step 3: Cross multiply
    6,537x = 12,747 × 12,747
  4. Step 4: Simplify right side
    6,537x = 162,486,009
  5. Step 5: Solve for x
    x = 162,486,009/6,537
  6. Step 6: Final answer
    x = 24,856.36

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.