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Finding the Third Proportional to 1,452.30 and 2,074.52

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Solution

The third proportional to 1,452.30 and 2,074.52 is: 2,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.30 : 2,074.52 = 2,074.52 : x
  2. Step 2: Convert to fraction form
    1,452.30/2,074.52 = 2,074.52/x
  3. Step 3: Cross multiply
    1,452.30x = 2,074.52 × 2,074.52
  4. Step 4: Simplify right side
    1,452.30x = 4,303,623.18
  5. Step 5: Solve for x
    x = 4,303,623.18/1,452.30
  6. Step 6: Final answer
    x = 2,963.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.