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Finding the Third Proportional to 5,077.69 and 11,686.78

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Solution

The third proportional to 5,077.69 and 11,686.78 is: 26,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.69 : 11,686.78 = 11,686.78 : x
  2. Step 2: Convert to fraction form
    5,077.69/11,686.78 = 11,686.78/x
  3. Step 3: Cross multiply
    5,077.69x = 11,686.78 × 11,686.78
  4. Step 4: Simplify right side
    5,077.69x = 136,580,855.99
  5. Step 5: Solve for x
    x = 136,580,855.99/5,077.69
  6. Step 6: Final answer
    x = 26,898.24

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.