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Finding the Third Proportional to 19,722.25 and 42,246.75

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Solution

The third proportional to 19,722.25 and 42,246.75 is: 90,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722.25 : 42,246.75 = 42,246.75 : x
  2. Step 2: Convert to fraction form
    19,722.25/42,246.75 = 42,246.75/x
  3. Step 3: Cross multiply
    19,722.25x = 42,246.75 × 42,246.75
  4. Step 4: Simplify right side
    19,722.25x = 1,784,787,885.56
  5. Step 5: Solve for x
    x = 1,784,787,885.56/19,722.25
  6. Step 6: Final answer
    x = 90,496.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.