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Finding the Third Proportional to 19,493 and 42,695

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Solution

The third proportional to 19,493 and 42,695 is: 93,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493 : 42,695 = 42,695 : x
  2. Step 2: Convert to fraction form
    19,493/42,695 = 42,695/x
  3. Step 3: Cross multiply
    19,493x = 42,695 × 42,695
  4. Step 4: Simplify right side
    19,493x = 1,822,863,025
  5. Step 5: Solve for x
    x = 1,822,863,025/19,493
  6. Step 6: Final answer
    x = 93,513.72

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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.