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Finding the Third Proportional to 25,706.25 and 38,883.38

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Solution

The third proportional to 25,706.25 and 38,883.38 is: 58,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.25 : 38,883.38 = 38,883.38 : x
  2. Step 2: Convert to fraction form
    25,706.25/38,883.38 = 38,883.38/x
  3. Step 3: Cross multiply
    25,706.25x = 38,883.38 × 38,883.38
  4. Step 4: Simplify right side
    25,706.25x = 1,511,916,851.39
  5. Step 5: Solve for x
    x = 1,511,916,851.39/25,706.25
  6. Step 6: Final answer
    x = 58,815.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.