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Finding the Third Proportional to 19,310 and 42,311

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Solution

The third proportional to 19,310 and 42,311 is: 92,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,310 : 42,311 = 42,311 : x
  2. Step 2: Convert to fraction form
    19,310/42,311 = 42,311/x
  3. Step 3: Cross multiply
    19,310x = 42,311 × 42,311
  4. Step 4: Simplify right side
    19,310x = 1,790,220,721
  5. Step 5: Solve for x
    x = 1,790,220,721/19,310
  6. Step 6: Final answer
    x = 92,709.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.