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Finding the Third Proportional to 1,319.53 and 2,867.23

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Solution

The third proportional to 1,319.53 and 2,867.23 is: 6,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.53 : 2,867.23 = 2,867.23 : x
  2. Step 2: Convert to fraction form
    1,319.53/2,867.23 = 2,867.23/x
  3. Step 3: Cross multiply
    1,319.53x = 2,867.23 × 2,867.23
  4. Step 4: Simplify right side
    1,319.53x = 8,221,030.16
  5. Step 5: Solve for x
    x = 8,221,030.16/1,319.53
  6. Step 6: Final answer
    x = 6,230.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.