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Finding the Third Proportional to 23,720 and 26,216

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Solution

The third proportional to 23,720 and 26,216 is: 28,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,720 : 26,216 = 26,216 : x
  2. Step 2: Convert to fraction form
    23,720/26,216 = 26,216/x
  3. Step 3: Cross multiply
    23,720x = 26,216 × 26,216
  4. Step 4: Simplify right side
    23,720x = 687,278,656
  5. Step 5: Solve for x
    x = 687,278,656/23,720
  6. Step 6: Final answer
    x = 28,974.65

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.