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Finding the Third Proportional to 9,742.50 and 14,249.25

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Solution

The third proportional to 9,742.50 and 14,249.25 is: 20,840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.50 : 14,249.25 = 14,249.25 : x
  2. Step 2: Convert to fraction form
    9,742.50/14,249.25 = 14,249.25/x
  3. Step 3: Cross multiply
    9,742.50x = 14,249.25 × 14,249.25
  4. Step 4: Simplify right side
    9,742.50x = 203,041,125.56
  5. Step 5: Solve for x
    x = 203,041,125.56/9,742.50
  6. Step 6: Final answer
    x = 20,840.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.