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Finding the Third Proportional to 1,565.44 and 2,045.53

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Solution

The third proportional to 1,565.44 and 2,045.53 is: 2,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.44 : 2,045.53 = 2,045.53 : x
  2. Step 2: Convert to fraction form
    1,565.44/2,045.53 = 2,045.53/x
  3. Step 3: Cross multiply
    1,565.44x = 2,045.53 × 2,045.53
  4. Step 4: Simplify right side
    1,565.44x = 4,184,198.09
  5. Step 5: Solve for x
    x = 4,184,198.09/1,565.44
  6. Step 6: Final answer
    x = 2,672.86

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.