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Finding the Third Proportional to 1,597.22 and 2,432.53

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Solution

The third proportional to 1,597.22 and 2,432.53 is: 3,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.22 : 2,432.53 = 2,432.53 : x
  2. Step 2: Convert to fraction form
    1,597.22/2,432.53 = 2,432.53/x
  3. Step 3: Cross multiply
    1,597.22x = 2,432.53 × 2,432.53
  4. Step 4: Simplify right side
    1,597.22x = 5,917,208.28
  5. Step 5: Solve for x
    x = 5,917,208.28/1,597.22
  6. Step 6: Final answer
    x = 3,704.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.