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Finding the Third Proportional to 26,226 and 28,386

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Solution

The third proportional to 26,226 and 28,386 is: 30,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,226 : 28,386 = 28,386 : x
  2. Step 2: Convert to fraction form
    26,226/28,386 = 28,386/x
  3. Step 3: Cross multiply
    26,226x = 28,386 × 28,386
  4. Step 4: Simplify right side
    26,226x = 805,764,996
  5. Step 5: Solve for x
    x = 805,764,996/26,226
  6. Step 6: Final answer
    x = 30,723.90

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.