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Finding the Third Proportional to 5,463.75 and 11,581.13

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Solution

The third proportional to 5,463.75 and 11,581.13 is: 24,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.75 : 11,581.13 = 11,581.13 : x
  2. Step 2: Convert to fraction form
    5,463.75/11,581.13 = 11,581.13/x
  3. Step 3: Cross multiply
    5,463.75x = 11,581.13 × 11,581.13
  4. Step 4: Simplify right side
    5,463.75x = 134,122,456.27
  5. Step 5: Solve for x
    x = 134,122,456.27/5,463.75
  6. Step 6: Final answer
    x = 24,547.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.