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Finding the Third Proportional to 3,139.75 and 4,597.13

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Solution

The third proportional to 3,139.75 and 4,597.13 is: 6,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.75 : 4,597.13 = 4,597.13 : x
  2. Step 2: Convert to fraction form
    3,139.75/4,597.13 = 4,597.13/x
  3. Step 3: Cross multiply
    3,139.75x = 4,597.13 × 4,597.13
  4. Step 4: Simplify right side
    3,139.75x = 21,133,558.27
  5. Step 5: Solve for x
    x = 21,133,558.27/3,139.75
  6. Step 6: Final answer
    x = 6,730.97

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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.