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Finding the Third Proportional to 26,304 and 40,808

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Solution

The third proportional to 26,304 and 40,808 is: 63,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,304 : 40,808 = 40,808 : x
  2. Step 2: Convert to fraction form
    26,304/40,808 = 40,808/x
  3. Step 3: Cross multiply
    26,304x = 40,808 × 40,808
  4. Step 4: Simplify right side
    26,304x = 1,665,292,864
  5. Step 5: Solve for x
    x = 1,665,292,864/26,304
  6. Step 6: Final answer
    x = 63,309.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.