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Finding the Third Proportional to 15,723 and 24,131.25

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Solution

The third proportional to 15,723 and 24,131.25 is: 37,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723 : 24,131.25 = 24,131.25 : x
  2. Step 2: Convert to fraction form
    15,723/24,131.25 = 24,131.25/x
  3. Step 3: Cross multiply
    15,723x = 24,131.25 × 24,131.25
  4. Step 4: Simplify right side
    15,723x = 582,317,226.56
  5. Step 5: Solve for x
    x = 582,317,226.56/15,723
  6. Step 6: Final answer
    x = 37,036.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.