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Finding the Third Proportional to 16,426.13 and 22,015.13

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Solution

The third proportional to 16,426.13 and 22,015.13 is: 29,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426.13 : 22,015.13 = 22,015.13 : x
  2. Step 2: Convert to fraction form
    16,426.13/22,015.13 = 22,015.13/x
  3. Step 3: Cross multiply
    16,426.13x = 22,015.13 × 22,015.13
  4. Step 4: Simplify right side
    16,426.13x = 484,665,728.77
  5. Step 5: Solve for x
    x = 484,665,728.77/16,426.13
  6. Step 6: Final answer
    x = 29,505.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.