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Finding the Third Proportional to 35,943 and 54,418

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Solution

The third proportional to 35,943 and 54,418 is: 82,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,943 : 54,418 = 54,418 : x
  2. Step 2: Convert to fraction form
    35,943/54,418 = 54,418/x
  3. Step 3: Cross multiply
    35,943x = 54,418 × 54,418
  4. Step 4: Simplify right side
    35,943x = 2,961,318,724
  5. Step 5: Solve for x
    x = 2,961,318,724/35,943
  6. Step 6: Final answer
    x = 82,389.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.