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Finding the Third Proportional to 26,872.88 and 56,948.91

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Solution

The third proportional to 26,872.88 and 56,948.91 is: 120,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,872.88 : 56,948.91 = 56,948.91 : x
  2. Step 2: Convert to fraction form
    26,872.88/56,948.91 = 56,948.91/x
  3. Step 3: Cross multiply
    26,872.88x = 56,948.91 × 56,948.91
  4. Step 4: Simplify right side
    26,872.88x = 3,243,177,923.07
  5. Step 5: Solve for x
    x = 3,243,177,923.07/26,872.88
  6. Step 6: Final answer
    x = 120,685.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.