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Finding the Third Proportional to 19,271 and 42,034

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Solution

The third proportional to 19,271 and 42,034 is: 91,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,271 : 42,034 = 42,034 : x
  2. Step 2: Convert to fraction form
    19,271/42,034 = 42,034/x
  3. Step 3: Cross multiply
    19,271x = 42,034 × 42,034
  4. Step 4: Simplify right side
    19,271x = 1,766,857,156
  5. Step 5: Solve for x
    x = 1,766,857,156/19,271
  6. Step 6: Final answer
    x = 91,684.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.