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Finding the Third Proportional to 36,379 and 56,070

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Solution

The third proportional to 36,379 and 56,070 is: 86,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,379 : 56,070 = 56,070 : x
  2. Step 2: Convert to fraction form
    36,379/56,070 = 56,070/x
  3. Step 3: Cross multiply
    36,379x = 56,070 × 56,070
  4. Step 4: Simplify right side
    36,379x = 3,143,844,900
  5. Step 5: Solve for x
    x = 3,143,844,900/36,379
  6. Step 6: Final answer
    x = 86,419.22

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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.