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Finding the Third Proportional to 23,257.13 and 30,511.69

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Solution

The third proportional to 23,257.13 and 30,511.69 is: 40,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.13 : 30,511.69 = 30,511.69 : x
  2. Step 2: Convert to fraction form
    23,257.13/30,511.69 = 30,511.69/x
  3. Step 3: Cross multiply
    23,257.13x = 30,511.69 × 30,511.69
  4. Step 4: Simplify right side
    23,257.13x = 930,963,074.10
  5. Step 5: Solve for x
    x = 930,963,074.10/23,257.13
  6. Step 6: Final answer
    x = 40,029.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.