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Finding the Third Proportional to 13,737 and 26,379.75

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Solution

The third proportional to 13,737 and 26,379.75 is: 50,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737 : 26,379.75 = 26,379.75 : x
  2. Step 2: Convert to fraction form
    13,737/26,379.75 = 26,379.75/x
  3. Step 3: Cross multiply
    13,737x = 26,379.75 × 26,379.75
  4. Step 4: Simplify right side
    13,737x = 695,891,210.06
  5. Step 5: Solve for x
    x = 695,891,210.06/13,737
  6. Step 6: Final answer
    x = 50,658.16

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.