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Finding the Third Proportional to 4,546.97 and 6,139.97

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Solution

The third proportional to 4,546.97 and 6,139.97 is: 8,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.97 : 6,139.97 = 6,139.97 : x
  2. Step 2: Convert to fraction form
    4,546.97/6,139.97 = 6,139.97/x
  3. Step 3: Cross multiply
    4,546.97x = 6,139.97 × 6,139.97
  4. Step 4: Simplify right side
    4,546.97x = 37,699,216.25
  5. Step 5: Solve for x
    x = 37,699,216.25/4,546.97
  6. Step 6: Final answer
    x = 8,291.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.