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Finding the Third Proportional to 1,148.34 and 2,491.17

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Solution

The third proportional to 1,148.34 and 2,491.17 is: 5,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.34 : 2,491.17 = 2,491.17 : x
  2. Step 2: Convert to fraction form
    1,148.34/2,491.17 = 2,491.17/x
  3. Step 3: Cross multiply
    1,148.34x = 2,491.17 × 2,491.17
  4. Step 4: Simplify right side
    1,148.34x = 6,205,937.31
  5. Step 5: Solve for x
    x = 6,205,937.31/1,148.34
  6. Step 6: Final answer
    x = 5,404.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.