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Finding the Third Proportional to 5,325.12 and 7,207.42

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Solution

The third proportional to 5,325.12 and 7,207.42 is: 9,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.12 : 7,207.42 = 7,207.42 : x
  2. Step 2: Convert to fraction form
    5,325.12/7,207.42 = 7,207.42/x
  3. Step 3: Cross multiply
    5,325.12x = 7,207.42 × 7,207.42
  4. Step 4: Simplify right side
    5,325.12x = 51,946,873.78
  5. Step 5: Solve for x
    x = 51,946,873.78/5,325.12
  6. Step 6: Final answer
    x = 9,755.07

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.