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Finding the Third Proportional to 24,193.69 and 55,498.92

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Solution

The third proportional to 24,193.69 and 55,498.92 is: 127,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,193.69 : 55,498.92 = 55,498.92 : x
  2. Step 2: Convert to fraction form
    24,193.69/55,498.92 = 55,498.92/x
  3. Step 3: Cross multiply
    24,193.69x = 55,498.92 × 55,498.92
  4. Step 4: Simplify right side
    24,193.69x = 3,080,130,329.29
  5. Step 5: Solve for x
    x = 3,080,130,329.29/24,193.69
  6. Step 6: Final answer
    x = 127,311.32

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.