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Finding the Third Proportional to 10,944 and 24,312

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Solution

The third proportional to 10,944 and 24,312 is: 54,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944 : 24,312 = 24,312 : x
  2. Step 2: Convert to fraction form
    10,944/24,312 = 24,312/x
  3. Step 3: Cross multiply
    10,944x = 24,312 × 24,312
  4. Step 4: Simplify right side
    10,944x = 591,073,344
  5. Step 5: Solve for x
    x = 591,073,344/10,944
  6. Step 6: Final answer
    x = 54,008.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.