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Finding the Third Proportional to 19,401.75 and 42,436.13

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Solution

The third proportional to 19,401.75 and 42,436.13 is: 92,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,401.75 : 42,436.13 = 42,436.13 : x
  2. Step 2: Convert to fraction form
    19,401.75/42,436.13 = 42,436.13/x
  3. Step 3: Cross multiply
    19,401.75x = 42,436.13 × 42,436.13
  4. Step 4: Simplify right side
    19,401.75x = 1,800,824,705.02
  5. Step 5: Solve for x
    x = 1,800,824,705.02/19,401.75
  6. Step 6: Final answer
    x = 92,817.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.