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Finding the Third Proportional to 38,388 and 51,864

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Solution

The third proportional to 38,388 and 51,864 is: 70,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,388 : 51,864 = 51,864 : x
  2. Step 2: Convert to fraction form
    38,388/51,864 = 51,864/x
  3. Step 3: Cross multiply
    38,388x = 51,864 × 51,864
  4. Step 4: Simplify right side
    38,388x = 2,689,874,496
  5. Step 5: Solve for x
    x = 2,689,874,496/38,388
  6. Step 6: Final answer
    x = 70,070.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.