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Finding the Third Proportional to 35,034 and 54,282

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Solution

The third proportional to 35,034 and 54,282 is: 84,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,034 : 54,282 = 54,282 : x
  2. Step 2: Convert to fraction form
    35,034/54,282 = 54,282/x
  3. Step 3: Cross multiply
    35,034x = 54,282 × 54,282
  4. Step 4: Simplify right side
    35,034x = 2,946,535,524
  5. Step 5: Solve for x
    x = 2,946,535,524/35,034
  6. Step 6: Final answer
    x = 84,105.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.