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Finding the Third Proportional to 1,045.09 and 1,593.26

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Solution

The third proportional to 1,045.09 and 1,593.26 is: 2,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.09 : 1,593.26 = 1,593.26 : x
  2. Step 2: Convert to fraction form
    1,045.09/1,593.26 = 1,593.26/x
  3. Step 3: Cross multiply
    1,045.09x = 1,593.26 × 1,593.26
  4. Step 4: Simplify right side
    1,045.09x = 2,538,489.13
  5. Step 5: Solve for x
    x = 2,538,489.13/1,045.09
  6. Step 6: Final answer
    x = 2,428.97

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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.