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Finding the Third Proportional to 26,463.66 and 56,764.69

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Solution

The third proportional to 26,463.66 and 56,764.69 is: 121,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,463.66 : 56,764.69 = 56,764.69 : x
  2. Step 2: Convert to fraction form
    26,463.66/56,764.69 = 56,764.69/x
  3. Step 3: Cross multiply
    26,463.66x = 56,764.69 × 56,764.69
  4. Step 4: Simplify right side
    26,463.66x = 3,222,229,746.97
  5. Step 5: Solve for x
    x = 3,222,229,746.97/26,463.66
  6. Step 6: Final answer
    x = 121,760.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.