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Finding the Third Proportional to 18,523.69 and 25,120.13

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Solution

The third proportional to 18,523.69 and 25,120.13 is: 34,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523.69 : 25,120.13 = 25,120.13 : x
  2. Step 2: Convert to fraction form
    18,523.69/25,120.13 = 25,120.13/x
  3. Step 3: Cross multiply
    18,523.69x = 25,120.13 × 25,120.13
  4. Step 4: Simplify right side
    18,523.69x = 631,020,680.02
  5. Step 5: Solve for x
    x = 631,020,680.02/18,523.69
  6. Step 6: Final answer
    x = 34,065.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.