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Finding the Third Proportional to 19,715 and 42,711

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Solution

The third proportional to 19,715 and 42,711 is: 92,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715 : 42,711 = 42,711 : x
  2. Step 2: Convert to fraction form
    19,715/42,711 = 42,711/x
  3. Step 3: Cross multiply
    19,715x = 42,711 × 42,711
  4. Step 4: Simplify right side
    19,715x = 1,824,229,521
  5. Step 5: Solve for x
    x = 1,824,229,521/19,715
  6. Step 6: Final answer
    x = 92,530.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.