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Finding the Third Proportional to 26,830 and 40,822

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Solution

The third proportional to 26,830 and 40,822 is: 62,110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,830 : 40,822 = 40,822 : x
  2. Step 2: Convert to fraction form
    26,830/40,822 = 40,822/x
  3. Step 3: Cross multiply
    26,830x = 40,822 × 40,822
  4. Step 4: Simplify right side
    26,830x = 1,666,435,684
  5. Step 5: Solve for x
    x = 1,666,435,684/26,830
  6. Step 6: Final answer
    x = 62,110.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.