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Finding the Third Proportional to 35,385 and 54,933

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Solution

The third proportional to 35,385 and 54,933 is: 85,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,385 : 54,933 = 54,933 : x
  2. Step 2: Convert to fraction form
    35,385/54,933 = 54,933/x
  3. Step 3: Cross multiply
    35,385x = 54,933 × 54,933
  4. Step 4: Simplify right side
    35,385x = 3,017,634,489
  5. Step 5: Solve for x
    x = 3,017,634,489/35,385
  6. Step 6: Final answer
    x = 85,280.05

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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.