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Finding the Third Proportional to 1,528.72 and 2,248.22

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Solution

The third proportional to 1,528.72 and 2,248.22 is: 3,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.72 : 2,248.22 = 2,248.22 : x
  2. Step 2: Convert to fraction form
    1,528.72/2,248.22 = 2,248.22/x
  3. Step 3: Cross multiply
    1,528.72x = 2,248.22 × 2,248.22
  4. Step 4: Simplify right side
    1,528.72x = 5,054,513.89
  5. Step 5: Solve for x
    x = 5,054,513.89/1,528.72
  6. Step 6: Final answer
    x = 3,306.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.