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Finding the Third Proportional to 11,142 and 24,332

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Solution

The third proportional to 11,142 and 24,332 is: 53,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142 : 24,332 = 24,332 : x
  2. Step 2: Convert to fraction form
    11,142/24,332 = 24,332/x
  3. Step 3: Cross multiply
    11,142x = 24,332 × 24,332
  4. Step 4: Simplify right side
    11,142x = 592,046,224
  5. Step 5: Solve for x
    x = 592,046,224/11,142
  6. Step 6: Final answer
    x = 53,136.44

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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.