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Finding the Third Proportional to 9,464 and 20,791

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Solution

The third proportional to 9,464 and 20,791 is: 45,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464 : 20,791 = 20,791 : x
  2. Step 2: Convert to fraction form
    9,464/20,791 = 20,791/x
  3. Step 3: Cross multiply
    9,464x = 20,791 × 20,791
  4. Step 4: Simplify right side
    9,464x = 432,265,681
  5. Step 5: Solve for x
    x = 432,265,681/9,464
  6. Step 6: Final answer
    x = 45,674.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.