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Finding the Third Proportional to 4,096.13 and 7,675.88

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Solution

The third proportional to 4,096.13 and 7,675.88 is: 14,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.13 : 7,675.88 = 7,675.88 : x
  2. Step 2: Convert to fraction form
    4,096.13/7,675.88 = 7,675.88/x
  3. Step 3: Cross multiply
    4,096.13x = 7,675.88 × 7,675.88
  4. Step 4: Simplify right side
    4,096.13x = 58,919,057.02
  5. Step 5: Solve for x
    x = 58,919,057.02/4,096.13
  6. Step 6: Final answer
    x = 14,384.10

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.