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Finding the Third Proportional to 11,120 and 24,292

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Solution

The third proportional to 11,120 and 24,292 is: 53,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,120 : 24,292 = 24,292 : x
  2. Step 2: Convert to fraction form
    11,120/24,292 = 24,292/x
  3. Step 3: Cross multiply
    11,120x = 24,292 × 24,292
  4. Step 4: Simplify right side
    11,120x = 590,101,264
  5. Step 5: Solve for x
    x = 590,101,264/11,120
  6. Step 6: Final answer
    x = 53,066.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.