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Finding the Third Proportional to 41,702.25 and 89,439

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Solution

The third proportional to 41,702.25 and 89,439 is: 191,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,702.25 : 89,439 = 89,439 : x
  2. Step 2: Convert to fraction form
    41,702.25/89,439 = 89,439/x
  3. Step 3: Cross multiply
    41,702.25x = 89,439 × 89,439
  4. Step 4: Simplify right side
    41,702.25x = 7,999,334,721
  5. Step 5: Solve for x
    x = 7,999,334,721/41,702.25
  6. Step 6: Final answer
    x = 191,820.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.