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Finding the Third Proportional to 23,952 and 38,262

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Solution

The third proportional to 23,952 and 38,262 is: 61,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,952 : 38,262 = 38,262 : x
  2. Step 2: Convert to fraction form
    23,952/38,262 = 38,262/x
  3. Step 3: Cross multiply
    23,952x = 38,262 × 38,262
  4. Step 4: Simplify right side
    23,952x = 1,463,980,644
  5. Step 5: Solve for x
    x = 1,463,980,644/23,952
  6. Step 6: Final answer
    x = 61,121.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.