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Finding the Third Proportional to 26,821.20 and 40,577.04

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Solution

The third proportional to 26,821.20 and 40,577.04 is: 61,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821.20 : 40,577.04 = 40,577.04 : x
  2. Step 2: Convert to fraction form
    26,821.20/40,577.04 = 40,577.04/x
  3. Step 3: Cross multiply
    26,821.20x = 40,577.04 × 40,577.04
  4. Step 4: Simplify right side
    26,821.20x = 1,646,496,574.59
  5. Step 5: Solve for x
    x = 1,646,496,574.59/26,821.20
  6. Step 6: Final answer
    x = 61,387.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.