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Finding the Third Proportional to 5,860.69 and 8,001.28

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Solution

The third proportional to 5,860.69 and 8,001.28 is: 10,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.69 : 8,001.28 = 8,001.28 : x
  2. Step 2: Convert to fraction form
    5,860.69/8,001.28 = 8,001.28/x
  3. Step 3: Cross multiply
    5,860.69x = 8,001.28 × 8,001.28
  4. Step 4: Simplify right side
    5,860.69x = 64,020,501.64
  5. Step 5: Solve for x
    x = 64,020,501.64/5,860.69
  6. Step 6: Final answer
    x = 10,923.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.