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Finding the Third Proportional to 1,452.30 and 3,131.00

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Solution

The third proportional to 1,452.30 and 3,131.00 is: 6,750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.30 : 3,131.00 = 3,131.00 : x
  2. Step 2: Convert to fraction form
    1,452.30/3,131.00 = 3,131.00/x
  3. Step 3: Cross multiply
    1,452.30x = 3,131.00 × 3,131.00
  4. Step 4: Simplify right side
    1,452.30x = 9,803,148.77
  5. Step 5: Solve for x
    x = 9,803,148.77/1,452.30
  6. Step 6: Final answer
    x = 6,750.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.