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Finding the Third Proportional to 6,997.22 and 15,122.53

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Solution

The third proportional to 6,997.22 and 15,122.53 is: 32,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.22 : 15,122.53 = 15,122.53 : x
  2. Step 2: Convert to fraction form
    6,997.22/15,122.53 = 15,122.53/x
  3. Step 3: Cross multiply
    6,997.22x = 15,122.53 × 15,122.53
  4. Step 4: Simplify right side
    6,997.22x = 228,690,951.41
  5. Step 5: Solve for x
    x = 228,690,951.41/6,997.22
  6. Step 6: Final answer
    x = 32,683.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.