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Finding the Third Proportional to 23,871 and 47,139

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Solution

The third proportional to 23,871 and 47,139 is: 93,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871 : 47,139 = 47,139 : x
  2. Step 2: Convert to fraction form
    23,871/47,139 = 47,139/x
  3. Step 3: Cross multiply
    23,871x = 47,139 × 47,139
  4. Step 4: Simplify right side
    23,871x = 2,222,085,321
  5. Step 5: Solve for x
    x = 2,222,085,321/23,871
  6. Step 6: Final answer
    x = 93,087.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.