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Finding the Third Proportional to 22,933.13 and 32,474.67

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Solution

The third proportional to 22,933.13 and 32,474.67 is: 45,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.13 : 32,474.67 = 32,474.67 : x
  2. Step 2: Convert to fraction form
    22,933.13/32,474.67 = 32,474.67/x
  3. Step 3: Cross multiply
    22,933.13x = 32,474.67 × 32,474.67
  4. Step 4: Simplify right side
    22,933.13x = 1,054,604,313.39
  5. Step 5: Solve for x
    x = 1,054,604,313.39/22,933.13
  6. Step 6: Final answer
    x = 45,986.07

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.