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Finding the Third Proportional to 25,042 and 38,504

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Solution

The third proportional to 25,042 and 38,504 is: 59,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,042 : 38,504 = 38,504 : x
  2. Step 2: Convert to fraction form
    25,042/38,504 = 38,504/x
  3. Step 3: Cross multiply
    25,042x = 38,504 × 38,504
  4. Step 4: Simplify right side
    25,042x = 1,482,558,016
  5. Step 5: Solve for x
    x = 1,482,558,016/25,042
  6. Step 6: Final answer
    x = 59,202.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.