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Finding the Third Proportional to 24,708 and 51,144

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Solution

The third proportional to 24,708 and 51,144 is: 105,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708 : 51,144 = 51,144 : x
  2. Step 2: Convert to fraction form
    24,708/51,144 = 51,144/x
  3. Step 3: Cross multiply
    24,708x = 51,144 × 51,144
  4. Step 4: Simplify right side
    24,708x = 2,615,708,736
  5. Step 5: Solve for x
    x = 2,615,708,736/24,708
  6. Step 6: Final answer
    x = 105,864.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.