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Finding the Third Proportional to 4,038.89 and 6,034.08

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Solution

The third proportional to 4,038.89 and 6,034.08 is: 9,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.89 : 6,034.08 = 6,034.08 : x
  2. Step 2: Convert to fraction form
    4,038.89/6,034.08 = 6,034.08/x
  3. Step 3: Cross multiply
    4,038.89x = 6,034.08 × 6,034.08
  4. Step 4: Simplify right side
    4,038.89x = 36,410,098.82
  5. Step 5: Solve for x
    x = 36,410,098.82/4,038.89
  6. Step 6: Final answer
    x = 9,014.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.