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Finding the Third Proportional to 5,327.65 and 7,888.22

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Solution

The third proportional to 5,327.65 and 7,888.22 is: 11,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.65 : 7,888.22 = 7,888.22 : x
  2. Step 2: Convert to fraction form
    5,327.65/7,888.22 = 7,888.22/x
  3. Step 3: Cross multiply
    5,327.65x = 7,888.22 × 7,888.22
  4. Step 4: Simplify right side
    5,327.65x = 62,223,995.05
  5. Step 5: Solve for x
    x = 62,223,995.05/5,327.65
  6. Step 6: Final answer
    x = 11,679.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.