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Finding the Third Proportional to 38,928 and 88,248

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Solution

The third proportional to 38,928 and 88,248 is: 200,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,928 : 88,248 = 88,248 : x
  2. Step 2: Convert to fraction form
    38,928/88,248 = 88,248/x
  3. Step 3: Cross multiply
    38,928x = 88,248 × 88,248
  4. Step 4: Simplify right side
    38,928x = 7,787,709,504
  5. Step 5: Solve for x
    x = 7,787,709,504/38,928
  6. Step 6: Final answer
    x = 200,054.19

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.