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Finding the Third Proportional to 17,969 and 39,047

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Solution

The third proportional to 17,969 and 39,047 is: 84,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969 : 39,047 = 39,047 : x
  2. Step 2: Convert to fraction form
    17,969/39,047 = 39,047/x
  3. Step 3: Cross multiply
    17,969x = 39,047 × 39,047
  4. Step 4: Simplify right side
    17,969x = 1,524,668,209
  5. Step 5: Solve for x
    x = 1,524,668,209/17,969
  6. Step 6: Final answer
    x = 84,849.92

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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.