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Finding the Third Proportional to 5,102.44 and 7,885.13

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Solution

The third proportional to 5,102.44 and 7,885.13 is: 12,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.44 : 7,885.13 = 7,885.13 : x
  2. Step 2: Convert to fraction form
    5,102.44/7,885.13 = 7,885.13/x
  3. Step 3: Cross multiply
    5,102.44x = 7,885.13 × 7,885.13
  4. Step 4: Simplify right side
    5,102.44x = 62,175,196.27
  5. Step 5: Solve for x
    x = 62,175,196.27/5,102.44
  6. Step 6: Final answer
    x = 12,185.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.