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Finding the Third Proportional to 35,086 and 53,927

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Solution

The third proportional to 35,086 and 53,927 is: 82,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,086 : 53,927 = 53,927 : x
  2. Step 2: Convert to fraction form
    35,086/53,927 = 53,927/x
  3. Step 3: Cross multiply
    35,086x = 53,927 × 53,927
  4. Step 4: Simplify right side
    35,086x = 2,908,121,329
  5. Step 5: Solve for x
    x = 2,908,121,329/35,086
  6. Step 6: Final answer
    x = 82,885.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.