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Finding the Third Proportional to 26,319 and 40,451

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Solution

The third proportional to 26,319 and 40,451 is: 62,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,319 : 40,451 = 40,451 : x
  2. Step 2: Convert to fraction form
    26,319/40,451 = 40,451/x
  3. Step 3: Cross multiply
    26,319x = 40,451 × 40,451
  4. Step 4: Simplify right side
    26,319x = 1,636,283,401
  5. Step 5: Solve for x
    x = 1,636,283,401/26,319
  6. Step 6: Final answer
    x = 62,171.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.