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Finding the Third Proportional to 4,181.78 and 6,157.11

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Solution

The third proportional to 4,181.78 and 6,157.11 is: 9,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.78 : 6,157.11 = 6,157.11 : x
  2. Step 2: Convert to fraction form
    4,181.78/6,157.11 = 6,157.11/x
  3. Step 3: Cross multiply
    4,181.78x = 6,157.11 × 6,157.11
  4. Step 4: Simplify right side
    4,181.78x = 37,909,971.80
  5. Step 5: Solve for x
    x = 37,909,971.80/4,181.78
  6. Step 6: Final answer
    x = 9,065.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.