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Finding the Third Proportional to 20,426.63 and 42,724.13

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Solution

The third proportional to 20,426.63 and 42,724.13 is: 89,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,426.63 : 42,724.13 = 42,724.13 : x
  2. Step 2: Convert to fraction form
    20,426.63/42,724.13 = 42,724.13/x
  3. Step 3: Cross multiply
    20,426.63x = 42,724.13 × 42,724.13
  4. Step 4: Simplify right side
    20,426.63x = 1,825,350,857.02
  5. Step 5: Solve for x
    x = 1,825,350,857.02/20,426.63
  6. Step 6: Final answer
    x = 89,361.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.