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Finding the Third Proportional to 3,778.31 and 5,875.03

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Solution

The third proportional to 3,778.31 and 5,875.03 is: 9,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.31 : 5,875.03 = 5,875.03 : x
  2. Step 2: Convert to fraction form
    3,778.31/5,875.03 = 5,875.03/x
  3. Step 3: Cross multiply
    3,778.31x = 5,875.03 × 5,875.03
  4. Step 4: Simplify right side
    3,778.31x = 34,515,992.19
  5. Step 5: Solve for x
    x = 34,515,992.19/3,778.31
  6. Step 6: Final answer
    x = 9,135.29

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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.