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Finding the Third Proportional to 10,107.28 and 14,472.84

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Solution

The third proportional to 10,107.28 and 14,472.84 is: 20,723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.28 : 14,472.84 = 14,472.84 : x
  2. Step 2: Convert to fraction form
    10,107.28/14,472.84 = 14,472.84/x
  3. Step 3: Cross multiply
    10,107.28x = 14,472.84 × 14,472.84
  4. Step 4: Simplify right side
    10,107.28x = 209,463,206.21
  5. Step 5: Solve for x
    x = 209,463,206.21/10,107.28
  6. Step 6: Final answer
    x = 20,723.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.