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Finding the Third Proportional to 11,098.59 and 24,384.19

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Solution

The third proportional to 11,098.59 and 24,384.19 is: 53,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.59 : 24,384.19 = 24,384.19 : x
  2. Step 2: Convert to fraction form
    11,098.59/24,384.19 = 24,384.19/x
  3. Step 3: Cross multiply
    11,098.59x = 24,384.19 × 24,384.19
  4. Step 4: Simplify right side
    11,098.59x = 594,588,600.04
  5. Step 5: Solve for x
    x = 594,588,600.04/11,098.59
  6. Step 6: Final answer
    x = 53,573.33

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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.