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Finding the Third Proportional to 36,723 and 55,429

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Solution

The third proportional to 36,723 and 55,429 is: 83,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,723 : 55,429 = 55,429 : x
  2. Step 2: Convert to fraction form
    36,723/55,429 = 55,429/x
  3. Step 3: Cross multiply
    36,723x = 55,429 × 55,429
  4. Step 4: Simplify right side
    36,723x = 3,072,374,041
  5. Step 5: Solve for x
    x = 3,072,374,041/36,723
  6. Step 6: Final answer
    x = 83,663.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.