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Finding the Third Proportional to 2,530.62 and 3,939.26

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Solution

The third proportional to 2,530.62 and 3,939.26 is: 6,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.62 : 3,939.26 = 3,939.26 : x
  2. Step 2: Convert to fraction form
    2,530.62/3,939.26 = 3,939.26/x
  3. Step 3: Cross multiply
    2,530.62x = 3,939.26 × 3,939.26
  4. Step 4: Simplify right side
    2,530.62x = 15,517,752.11
  5. Step 5: Solve for x
    x = 15,517,752.11/2,530.62
  6. Step 6: Final answer
    x = 6,132.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.