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Finding the Third Proportional to 41,490 and 59,643

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Solution

The third proportional to 41,490 and 59,643 is: 85,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,490 : 59,643 = 59,643 : x
  2. Step 2: Convert to fraction form
    41,490/59,643 = 59,643/x
  3. Step 3: Cross multiply
    41,490x = 59,643 × 59,643
  4. Step 4: Simplify right side
    41,490x = 3,557,287,449
  5. Step 5: Solve for x
    x = 3,557,287,449/41,490
  6. Step 6: Final answer
    x = 85,738.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.