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Finding the Third Proportional to 26,488 and 36,424

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Solution

The third proportional to 26,488 and 36,424 is: 50,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,488 : 36,424 = 36,424 : x
  2. Step 2: Convert to fraction form
    26,488/36,424 = 36,424/x
  3. Step 3: Cross multiply
    26,488x = 36,424 × 36,424
  4. Step 4: Simplify right side
    26,488x = 1,326,707,776
  5. Step 5: Solve for x
    x = 1,326,707,776/26,488
  6. Step 6: Final answer
    x = 50,087.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.