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Finding the Third Proportional to 10,965.75 and 24,118

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Solution

The third proportional to 10,965.75 and 24,118 is: 53,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.75 : 24,118 = 24,118 : x
  2. Step 2: Convert to fraction form
    10,965.75/24,118 = 24,118/x
  3. Step 3: Cross multiply
    10,965.75x = 24,118 × 24,118
  4. Step 4: Simplify right side
    10,965.75x = 581,677,924
  5. Step 5: Solve for x
    x = 581,677,924/10,965.75
  6. Step 6: Final answer
    x = 53,044.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.