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Finding the Third Proportional to 36,281 and 56,039

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Solution

The third proportional to 36,281 and 56,039 is: 86,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,281 : 56,039 = 56,039 : x
  2. Step 2: Convert to fraction form
    36,281/56,039 = 56,039/x
  3. Step 3: Cross multiply
    36,281x = 56,039 × 56,039
  4. Step 4: Simplify right side
    36,281x = 3,140,369,521
  5. Step 5: Solve for x
    x = 3,140,369,521/36,281
  6. Step 6: Final answer
    x = 86,556.86

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