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Finding the Third Proportional to 25,902.75 and 38,694.19

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Solution

The third proportional to 25,902.75 and 38,694.19 is: 57,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.75 : 38,694.19 = 38,694.19 : x
  2. Step 2: Convert to fraction form
    25,902.75/38,694.19 = 38,694.19/x
  3. Step 3: Cross multiply
    25,902.75x = 38,694.19 × 38,694.19
  4. Step 4: Simplify right side
    25,902.75x = 1,497,240,146.29
  5. Step 5: Solve for x
    x = 1,497,240,146.29/25,902.75
  6. Step 6: Final answer
    x = 57,802.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.