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Finding the Third Proportional to 11,417.68 and 24,911.30

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Solution

The third proportional to 11,417.68 and 24,911.30 is: 54,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.68 : 24,911.30 = 24,911.30 : x
  2. Step 2: Convert to fraction form
    11,417.68/24,911.30 = 24,911.30/x
  3. Step 3: Cross multiply
    11,417.68x = 24,911.30 × 24,911.30
  4. Step 4: Simplify right side
    11,417.68x = 620,572,711.99
  5. Step 5: Solve for x
    x = 620,572,711.99/11,417.68
  6. Step 6: Final answer
    x = 54,351.92

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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.