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Finding the Third Proportional to 925.80 and 1,448.51

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Solution

The third proportional to 925.80 and 1,448.51 is: 2,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.80 : 1,448.51 = 1,448.51 : x
  2. Step 2: Convert to fraction form
    925.80/1,448.51 = 1,448.51/x
  3. Step 3: Cross multiply
    925.80x = 1,448.51 × 1,448.51
  4. Step 4: Simplify right side
    925.80x = 2,098,174.88
  5. Step 5: Solve for x
    x = 2,098,174.88/925.80
  6. Step 6: Final answer
    x = 2,266.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.