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Finding the Third Proportional to 23,176.13 and 26,578.13

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Solution

The third proportional to 23,176.13 and 26,578.13 is: 30,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176.13 : 26,578.13 = 26,578.13 : x
  2. Step 2: Convert to fraction form
    23,176.13/26,578.13 = 26,578.13/x
  3. Step 3: Cross multiply
    23,176.13x = 26,578.13 × 26,578.13
  4. Step 4: Simplify right side
    23,176.13x = 706,396,728.52
  5. Step 5: Solve for x
    x = 706,396,728.52/23,176.13
  6. Step 6: Final answer
    x = 30,479.50

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.