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Finding the Third Proportional to 38,152 and 82,871

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Solution

The third proportional to 38,152 and 82,871 is: 180,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,152 : 82,871 = 82,871 : x
  2. Step 2: Convert to fraction form
    38,152/82,871 = 82,871/x
  3. Step 3: Cross multiply
    38,152x = 82,871 × 82,871
  4. Step 4: Simplify right side
    38,152x = 6,867,602,641
  5. Step 5: Solve for x
    x = 6,867,602,641/38,152
  6. Step 6: Final answer
    x = 180,006.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.