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Finding the Third Proportional to 5,146.25 and 10,474.38

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Solution

The third proportional to 5,146.25 and 10,474.38 is: 21,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.25 : 10,474.38 = 10,474.38 : x
  2. Step 2: Convert to fraction form
    5,146.25/10,474.38 = 10,474.38/x
  3. Step 3: Cross multiply
    5,146.25x = 10,474.38 × 10,474.38
  4. Step 4: Simplify right side
    5,146.25x = 109,712,531.64
  5. Step 5: Solve for x
    x = 109,712,531.64/5,146.25
  6. Step 6: Final answer
    x = 21,318.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.