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Finding the Third Proportional to 27,868 and 49,130

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Solution

The third proportional to 27,868 and 49,130 is: 86,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,868 : 49,130 = 49,130 : x
  2. Step 2: Convert to fraction form
    27,868/49,130 = 49,130/x
  3. Step 3: Cross multiply
    27,868x = 49,130 × 49,130
  4. Step 4: Simplify right side
    27,868x = 2,413,756,900
  5. Step 5: Solve for x
    x = 2,413,756,900/27,868
  6. Step 6: Final answer
    x = 86,613.93

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.