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Finding the Third Proportional to 24,759 and 51,964.88

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Solution

The third proportional to 24,759 and 51,964.88 is: 109,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,759 : 51,964.88 = 51,964.88 : x
  2. Step 2: Convert to fraction form
    24,759/51,964.88 = 51,964.88/x
  3. Step 3: Cross multiply
    24,759x = 51,964.88 × 51,964.88
  4. Step 4: Simplify right side
    24,759x = 2,700,348,233.77
  5. Step 5: Solve for x
    x = 2,700,348,233.77/24,759
  6. Step 6: Final answer
    x = 109,065.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.