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Finding the Third Proportional to 1,425.25 and 3,130.75

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Solution

The third proportional to 1,425.25 and 3,130.75 is: 6,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.25 : 3,130.75 = 3,130.75 : x
  2. Step 2: Convert to fraction form
    1,425.25/3,130.75 = 3,130.75/x
  3. Step 3: Cross multiply
    1,425.25x = 3,130.75 × 3,130.75
  4. Step 4: Simplify right side
    1,425.25x = 9,801,595.56
  5. Step 5: Solve for x
    x = 9,801,595.56/1,425.25
  6. Step 6: Final answer
    x = 6,877.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.