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Finding the Third Proportional to 6,034.78 and 8,836.14

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Solution

The third proportional to 6,034.78 and 8,836.14 is: 12,937.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.78 : 8,836.14 = 8,836.14 : x
  2. Step 2: Convert to fraction form
    6,034.78/8,836.14 = 8,836.14/x
  3. Step 3: Cross multiply
    6,034.78x = 8,836.14 × 8,836.14
  4. Step 4: Simplify right side
    6,034.78x = 78,077,312.11
  5. Step 5: Solve for x
    x = 78,077,312.11/6,034.78
  6. Step 6: Final answer
    x = 12,937.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.