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Finding the Third Proportional to 39,848 and 52,368

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Solution

The third proportional to 39,848 and 52,368 is: 68,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,848 : 52,368 = 52,368 : x
  2. Step 2: Convert to fraction form
    39,848/52,368 = 52,368/x
  3. Step 3: Cross multiply
    39,848x = 52,368 × 52,368
  4. Step 4: Simplify right side
    39,848x = 2,742,407,424
  5. Step 5: Solve for x
    x = 2,742,407,424/39,848
  6. Step 6: Final answer
    x = 68,821.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.