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Finding the Third Proportional to 5,077.69 and 7,707.66

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Solution

The third proportional to 5,077.69 and 7,707.66 is: 11,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.69 : 7,707.66 = 7,707.66 : x
  2. Step 2: Convert to fraction form
    5,077.69/7,707.66 = 7,707.66/x
  3. Step 3: Cross multiply
    5,077.69x = 7,707.66 × 7,707.66
  4. Step 4: Simplify right side
    5,077.69x = 59,407,964.87
  5. Step 5: Solve for x
    x = 59,407,964.87/5,077.69
  6. Step 6: Final answer
    x = 11,699.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.