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Finding the Third Proportional to 24,767.44 and 37,623.66

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Solution

The third proportional to 24,767.44 and 37,623.66 is: 57,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,767.44 : 37,623.66 = 37,623.66 : x
  2. Step 2: Convert to fraction form
    24,767.44/37,623.66 = 37,623.66/x
  3. Step 3: Cross multiply
    24,767.44x = 37,623.66 × 37,623.66
  4. Step 4: Simplify right side
    24,767.44x = 1,415,539,509.62
  5. Step 5: Solve for x
    x = 1,415,539,509.62/24,767.44
  6. Step 6: Final answer
    x = 57,153.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.