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Finding the Third Proportional to 2,473.19 and 5,721.65

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Solution

The third proportional to 2,473.19 and 5,721.65 is: 13,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.19 : 5,721.65 = 5,721.65 : x
  2. Step 2: Convert to fraction form
    2,473.19/5,721.65 = 5,721.65/x
  3. Step 3: Cross multiply
    2,473.19x = 5,721.65 × 5,721.65
  4. Step 4: Simplify right side
    2,473.19x = 32,737,316.72
  5. Step 5: Solve for x
    x = 32,737,316.72/2,473.19
  6. Step 6: Final answer
    x = 13,236.88

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.