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Finding the Third Proportional to 9,069 and 18,959

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Solution

The third proportional to 9,069 and 18,959 is: 39,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069 : 18,959 = 18,959 : x
  2. Step 2: Convert to fraction form
    9,069/18,959 = 18,959/x
  3. Step 3: Cross multiply
    9,069x = 18,959 × 18,959
  4. Step 4: Simplify right side
    9,069x = 359,443,681
  5. Step 5: Solve for x
    x = 359,443,681/9,069
  6. Step 6: Final answer
    x = 39,634.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.