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Finding the Third Proportional to 19,454 and 40,870

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Solution

The third proportional to 19,454 and 40,870 is: 85,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454 : 40,870 = 40,870 : x
  2. Step 2: Convert to fraction form
    19,454/40,870 = 40,870/x
  3. Step 3: Cross multiply
    19,454x = 40,870 × 40,870
  4. Step 4: Simplify right side
    19,454x = 1,670,356,900
  5. Step 5: Solve for x
    x = 1,670,356,900/19,454
  6. Step 6: Final answer
    x = 85,861.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.