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Finding the Third Proportional to 5,429.53 and 11,474.16

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Solution

The third proportional to 5,429.53 and 11,474.16 is: 24,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.53 : 11,474.16 = 11,474.16 : x
  2. Step 2: Convert to fraction form
    5,429.53/11,474.16 = 11,474.16/x
  3. Step 3: Cross multiply
    5,429.53x = 11,474.16 × 11,474.16
  4. Step 4: Simplify right side
    5,429.53x = 131,656,261.65
  5. Step 5: Solve for x
    x = 131,656,261.65/5,429.53
  6. Step 6: Final answer
    x = 24,248.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.