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Finding the Third Proportional to 5,966 and 9,459

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Solution

The third proportional to 5,966 and 9,459 is: 14,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966 : 9,459 = 9,459 : x
  2. Step 2: Convert to fraction form
    5,966/9,459 = 9,459/x
  3. Step 3: Cross multiply
    5,966x = 9,459 × 9,459
  4. Step 4: Simplify right side
    5,966x = 89,472,681
  5. Step 5: Solve for x
    x = 89,472,681/5,966
  6. Step 6: Final answer
    x = 14,997.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.