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Finding the Third Proportional to 7,211.11 and 15,652.41

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Solution

The third proportional to 7,211.11 and 15,652.41 is: 33,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.11 : 15,652.41 = 15,652.41 : x
  2. Step 2: Convert to fraction form
    7,211.11/15,652.41 = 15,652.41/x
  3. Step 3: Cross multiply
    7,211.11x = 15,652.41 × 15,652.41
  4. Step 4: Simplify right side
    7,211.11x = 244,997,821.42
  5. Step 5: Solve for x
    x = 244,997,821.42/7,211.11
  6. Step 6: Final answer
    x = 33,975.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.