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Finding the Third Proportional to 11,011 and 24,543

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Solution

The third proportional to 11,011 and 24,543 is: 54,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,011 : 24,543 = 24,543 : x
  2. Step 2: Convert to fraction form
    11,011/24,543 = 24,543/x
  3. Step 3: Cross multiply
    11,011x = 24,543 × 24,543
  4. Step 4: Simplify right side
    11,011x = 602,358,849
  5. Step 5: Solve for x
    x = 602,358,849/11,011
  6. Step 6: Final answer
    x = 54,705.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.