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Finding the Third Proportional to 27,726 and 40,737

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Solution

The third proportional to 27,726 and 40,737 is: 59,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726 : 40,737 = 40,737 : x
  2. Step 2: Convert to fraction form
    27,726/40,737 = 40,737/x
  3. Step 3: Cross multiply
    27,726x = 40,737 × 40,737
  4. Step 4: Simplify right side
    27,726x = 1,659,503,169
  5. Step 5: Solve for x
    x = 1,659,503,169/27,726
  6. Step 6: Final answer
    x = 59,853.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.