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Finding the Third Proportional to 36,381 and 56,073

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Solution

The third proportional to 36,381 and 56,073 is: 86,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,381 : 56,073 = 56,073 : x
  2. Step 2: Convert to fraction form
    36,381/56,073 = 56,073/x
  3. Step 3: Cross multiply
    36,381x = 56,073 × 56,073
  4. Step 4: Simplify right side
    36,381x = 3,144,181,329
  5. Step 5: Solve for x
    x = 3,144,181,329/36,381
  6. Step 6: Final answer
    x = 86,423.72

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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.