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Finding the Third Proportional to 4,296.38 and 6,260.63

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Solution

The third proportional to 4,296.38 and 6,260.63 is: 9,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.38 : 6,260.63 = 6,260.63 : x
  2. Step 2: Convert to fraction form
    4,296.38/6,260.63 = 6,260.63/x
  3. Step 3: Cross multiply
    4,296.38x = 6,260.63 × 6,260.63
  4. Step 4: Simplify right side
    4,296.38x = 39,195,425.39
  5. Step 5: Solve for x
    x = 39,195,425.39/4,296.38
  6. Step 6: Final answer
    x = 9,122.91

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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.