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Finding the Third Proportional to 11,350.69 and 24,000.19

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Solution

The third proportional to 11,350.69 and 24,000.19 is: 50,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,350.69 : 24,000.19 = 24,000.19 : x
  2. Step 2: Convert to fraction form
    11,350.69/24,000.19 = 24,000.19/x
  3. Step 3: Cross multiply
    11,350.69x = 24,000.19 × 24,000.19
  4. Step 4: Simplify right side
    11,350.69x = 576,009,000.04
  5. Step 5: Solve for x
    x = 576,009,000.04/11,350.69
  6. Step 6: Final answer
    x = 50,746.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.