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Finding the Third Proportional to 11,102 and 24,556

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Solution

The third proportional to 11,102 and 24,556 is: 54,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102 : 24,556 = 24,556 : x
  2. Step 2: Convert to fraction form
    11,102/24,556 = 24,556/x
  3. Step 3: Cross multiply
    11,102x = 24,556 × 24,556
  4. Step 4: Simplify right side
    11,102x = 602,997,136
  5. Step 5: Solve for x
    x = 602,997,136/11,102
  6. Step 6: Final answer
    x = 54,314.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.