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Finding the Third Proportional to 24,344.72 and 36,419.91

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Solution

The third proportional to 24,344.72 and 36,419.91 is: 54,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,344.72 : 36,419.91 = 36,419.91 : x
  2. Step 2: Convert to fraction form
    24,344.72/36,419.91 = 36,419.91/x
  3. Step 3: Cross multiply
    24,344.72x = 36,419.91 × 36,419.91
  4. Step 4: Simplify right side
    24,344.72x = 1,326,409,571.26
  5. Step 5: Solve for x
    x = 1,326,409,571.26/24,344.72
  6. Step 6: Final answer
    x = 54,484.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.