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Finding the Third Proportional to 19,414.50 and 42,002.25

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Solution

The third proportional to 19,414.50 and 42,002.25 is: 90,869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414.50 : 42,002.25 = 42,002.25 : x
  2. Step 2: Convert to fraction form
    19,414.50/42,002.25 = 42,002.25/x
  3. Step 3: Cross multiply
    19,414.50x = 42,002.25 × 42,002.25
  4. Step 4: Simplify right side
    19,414.50x = 1,764,189,005.06
  5. Step 5: Solve for x
    x = 1,764,189,005.06/19,414.50
  6. Step 6: Final answer
    x = 90,869.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.