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Finding the Third Proportional to 26,838.75 and 40,123.13

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Solution

The third proportional to 26,838.75 and 40,123.13 is: 59,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,838.75 : 40,123.13 = 40,123.13 : x
  2. Step 2: Convert to fraction form
    26,838.75/40,123.13 = 40,123.13/x
  3. Step 3: Cross multiply
    26,838.75x = 40,123.13 × 40,123.13
  4. Step 4: Simplify right side
    26,838.75x = 1,609,865,159.77
  5. Step 5: Solve for x
    x = 1,609,865,159.77/26,838.75
  6. Step 6: Final answer
    x = 59,982.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.