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Finding the Third Proportional to 5,712.75 and 8,841.38

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Solution

The third proportional to 5,712.75 and 8,841.38 is: 13,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.75 : 8,841.38 = 8,841.38 : x
  2. Step 2: Convert to fraction form
    5,712.75/8,841.38 = 8,841.38/x
  3. Step 3: Cross multiply
    5,712.75x = 8,841.38 × 8,841.38
  4. Step 4: Simplify right side
    5,712.75x = 78,169,911.89
  5. Step 5: Solve for x
    x = 78,169,911.89/5,712.75
  6. Step 6: Final answer
    x = 13,683.41

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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.