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Finding the Third Proportional to 35,742 and 54,381

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Solution

The third proportional to 35,742 and 54,381 is: 82,740.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742 : 54,381 = 54,381 : x
  2. Step 2: Convert to fraction form
    35,742/54,381 = 54,381/x
  3. Step 3: Cross multiply
    35,742x = 54,381 × 54,381
  4. Step 4: Simplify right side
    35,742x = 2,957,293,161
  5. Step 5: Solve for x
    x = 2,957,293,161/35,742
  6. Step 6: Final answer
    x = 82,740.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.