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Finding the Third Proportional to 5,320.69 and 5,833.27

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Solution

The third proportional to 5,320.69 and 5,833.27 is: 6,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.69 : 5,833.27 = 5,833.27 : x
  2. Step 2: Convert to fraction form
    5,320.69/5,833.27 = 5,833.27/x
  3. Step 3: Cross multiply
    5,320.69x = 5,833.27 × 5,833.27
  4. Step 4: Simplify right side
    5,320.69x = 34,026,987.85
  5. Step 5: Solve for x
    x = 34,026,987.85/5,320.69
  6. Step 6: Final answer
    x = 6,395.22

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.