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Finding the Third Proportional to 4,096.50 and 6,148.88

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Solution

The third proportional to 4,096.50 and 6,148.88 is: 9,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.50 : 6,148.88 = 6,148.88 : x
  2. Step 2: Convert to fraction form
    4,096.50/6,148.88 = 6,148.88/x
  3. Step 3: Cross multiply
    4,096.50x = 6,148.88 × 6,148.88
  4. Step 4: Simplify right side
    4,096.50x = 37,808,663.77
  5. Step 5: Solve for x
    x = 37,808,663.77/4,096.50
  6. Step 6: Final answer
    x = 9,229.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.