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Finding the Third Proportional to 5,643 and 7,491

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Solution

The third proportional to 5,643 and 7,491 is: 9,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643 : 7,491 = 7,491 : x
  2. Step 2: Convert to fraction form
    5,643/7,491 = 7,491/x
  3. Step 3: Cross multiply
    5,643x = 7,491 × 7,491
  4. Step 4: Simplify right side
    5,643x = 56,115,081
  5. Step 5: Solve for x
    x = 56,115,081/5,643
  6. Step 6: Final answer
    x = 9,944.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.