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Finding the Third Proportional to 23,113.69 and 33,760.13

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Solution

The third proportional to 23,113.69 and 33,760.13 is: 49,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113.69 : 33,760.13 = 33,760.13 : x
  2. Step 2: Convert to fraction form
    23,113.69/33,760.13 = 33,760.13/x
  3. Step 3: Cross multiply
    23,113.69x = 33,760.13 × 33,760.13
  4. Step 4: Simplify right side
    23,113.69x = 1,139,746,040.02
  5. Step 5: Solve for x
    x = 1,139,746,040.02/23,113.69
  6. Step 6: Final answer
    x = 49,310.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.