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Finding the Third Proportional to 41,671 and 66,196.50

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Solution

The third proportional to 41,671 and 66,196.50 is: 105,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,671 : 66,196.50 = 66,196.50 : x
  2. Step 2: Convert to fraction form
    41,671/66,196.50 = 66,196.50/x
  3. Step 3: Cross multiply
    41,671x = 66,196.50 × 66,196.50
  4. Step 4: Simplify right side
    41,671x = 4,381,976,612.25
  5. Step 5: Solve for x
    x = 4,381,976,612.25/41,671
  6. Step 6: Final answer
    x = 105,156.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.