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Finding the Third Proportional to 9,486 and 20,723

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Solution

The third proportional to 9,486 and 20,723 is: 45,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486 : 20,723 = 20,723 : x
  2. Step 2: Convert to fraction form
    9,486/20,723 = 20,723/x
  3. Step 3: Cross multiply
    9,486x = 20,723 × 20,723
  4. Step 4: Simplify right side
    9,486x = 429,442,729
  5. Step 5: Solve for x
    x = 429,442,729/9,486
  6. Step 6: Final answer
    x = 45,271.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.