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Finding the Third Proportional to 24,613.88 and 36,401.06

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Solution

The third proportional to 24,613.88 and 36,401.06 is: 53,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,613.88 : 36,401.06 = 36,401.06 : x
  2. Step 2: Convert to fraction form
    24,613.88/36,401.06 = 36,401.06/x
  3. Step 3: Cross multiply
    24,613.88x = 36,401.06 × 36,401.06
  4. Step 4: Simplify right side
    24,613.88x = 1,325,037,351.13
  5. Step 5: Solve for x
    x = 1,325,037,351.13/24,613.88
  6. Step 6: Final answer
    x = 53,832.94

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.