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Finding the Third Proportional to 19,510 and 42,092

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Solution

The third proportional to 19,510 and 42,092 is: 90,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,510 : 42,092 = 42,092 : x
  2. Step 2: Convert to fraction form
    19,510/42,092 = 42,092/x
  3. Step 3: Cross multiply
    19,510x = 42,092 × 42,092
  4. Step 4: Simplify right side
    19,510x = 1,771,736,464
  5. Step 5: Solve for x
    x = 1,771,736,464/19,510
  6. Step 6: Final answer
    x = 90,811.71

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Why These Related Problems?

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