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Finding the Third Proportional to 4,101.56 and 6,156.38

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Solution

The third proportional to 4,101.56 and 6,156.38 is: 9,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.56 : 6,156.38 = 6,156.38 : x
  2. Step 2: Convert to fraction form
    4,101.56/6,156.38 = 6,156.38/x
  3. Step 3: Cross multiply
    4,101.56x = 6,156.38 × 6,156.38
  4. Step 4: Simplify right side
    4,101.56x = 37,900,953.14
  5. Step 5: Solve for x
    x = 37,900,953.14/4,101.56
  6. Step 6: Final answer
    x = 9,240.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.