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Finding the Third Proportional to 6,146 and 8,459

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Solution

The third proportional to 6,146 and 8,459 is: 11,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146 : 8,459 = 8,459 : x
  2. Step 2: Convert to fraction form
    6,146/8,459 = 8,459/x
  3. Step 3: Cross multiply
    6,146x = 8,459 × 8,459
  4. Step 4: Simplify right side
    6,146x = 71,554,681
  5. Step 5: Solve for x
    x = 71,554,681/6,146
  6. Step 6: Final answer
    x = 11,642.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.