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Finding the Third Proportional to 5,298.33 and 7,757.65

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Solution

The third proportional to 5,298.33 and 7,757.65 is: 11,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.33 : 7,757.65 = 7,757.65 : x
  2. Step 2: Convert to fraction form
    5,298.33/7,757.65 = 7,757.65/x
  3. Step 3: Cross multiply
    5,298.33x = 7,757.65 × 7,757.65
  4. Step 4: Simplify right side
    5,298.33x = 60,181,109.28
  5. Step 5: Solve for x
    x = 60,181,109.28/5,298.33
  6. Step 6: Final answer
    x = 11,358.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.