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Finding the Third Proportional to 25,274.25 and 38,684.25

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Solution

The third proportional to 25,274.25 and 38,684.25 is: 59,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.25 : 38,684.25 = 38,684.25 : x
  2. Step 2: Convert to fraction form
    25,274.25/38,684.25 = 38,684.25/x
  3. Step 3: Cross multiply
    25,274.25x = 38,684.25 × 38,684.25
  4. Step 4: Simplify right side
    25,274.25x = 1,496,471,198.06
  5. Step 5: Solve for x
    x = 1,496,471,198.06/25,274.25
  6. Step 6: Final answer
    x = 59,209.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.