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Finding the Third Proportional to 19,251 and 44,723.25

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Solution

The third proportional to 19,251 and 44,723.25 is: 103,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,251 : 44,723.25 = 44,723.25 : x
  2. Step 2: Convert to fraction form
    19,251/44,723.25 = 44,723.25/x
  3. Step 3: Cross multiply
    19,251x = 44,723.25 × 44,723.25
  4. Step 4: Simplify right side
    19,251x = 2,000,169,090.56
  5. Step 5: Solve for x
    x = 2,000,169,090.56/19,251
  6. Step 6: Final answer
    x = 103,899.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.