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Finding the Third Proportional to 19,436 and 42,805

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Solution

The third proportional to 19,436 and 42,805 is: 94,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,436 : 42,805 = 42,805 : x
  2. Step 2: Convert to fraction form
    19,436/42,805 = 42,805/x
  3. Step 3: Cross multiply
    19,436x = 42,805 × 42,805
  4. Step 4: Simplify right side
    19,436x = 1,832,268,025
  5. Step 5: Solve for x
    x = 1,832,268,025/19,436
  6. Step 6: Final answer
    x = 94,271.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.