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Finding the Third Proportional to 5,142.66 and 6,968.53

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Solution

The third proportional to 5,142.66 and 6,968.53 is: 9,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.66 : 6,968.53 = 6,968.53 : x
  2. Step 2: Convert to fraction form
    5,142.66/6,968.53 = 6,968.53/x
  3. Step 3: Cross multiply
    5,142.66x = 6,968.53 × 6,968.53
  4. Step 4: Simplify right side
    5,142.66x = 48,560,427.78
  5. Step 5: Solve for x
    x = 48,560,427.78/5,142.66
  6. Step 6: Final answer
    x = 9,442.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.