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Finding the Third Proportional to 7,486 and 10,491

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Solution

The third proportional to 7,486 and 10,491 is: 14,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486 : 10,491 = 10,491 : x
  2. Step 2: Convert to fraction form
    7,486/10,491 = 10,491/x
  3. Step 3: Cross multiply
    7,486x = 10,491 × 10,491
  4. Step 4: Simplify right side
    7,486x = 110,061,081
  5. Step 5: Solve for x
    x = 110,061,081/7,486
  6. Step 6: Final answer
    x = 14,702.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.