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Finding the Third Proportional to 4,148.72 and 8,957.67

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Solution

The third proportional to 4,148.72 and 8,957.67 is: 19,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.72 : 8,957.67 = 8,957.67 : x
  2. Step 2: Convert to fraction form
    4,148.72/8,957.67 = 8,957.67/x
  3. Step 3: Cross multiply
    4,148.72x = 8,957.67 × 8,957.67
  4. Step 4: Simplify right side
    4,148.72x = 80,239,885.42
  5. Step 5: Solve for x
    x = 80,239,885.42/4,148.72
  6. Step 6: Final answer
    x = 19,340.88

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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.