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Finding the Third Proportional to 19,695 and 42,670

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Solution

The third proportional to 19,695 and 42,670 is: 92,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,695 : 42,670 = 42,670 : x
  2. Step 2: Convert to fraction form
    19,695/42,670 = 42,670/x
  3. Step 3: Cross multiply
    19,695x = 42,670 × 42,670
  4. Step 4: Simplify right side
    19,695x = 1,820,728,900
  5. Step 5: Solve for x
    x = 1,820,728,900/19,695
  6. Step 6: Final answer
    x = 92,446.25

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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.