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Finding the Third Proportional to 9,306 and 20,101

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Solution

The third proportional to 9,306 and 20,101 is: 43,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306 : 20,101 = 20,101 : x
  2. Step 2: Convert to fraction form
    9,306/20,101 = 20,101/x
  3. Step 3: Cross multiply
    9,306x = 20,101 × 20,101
  4. Step 4: Simplify right side
    9,306x = 404,050,201
  5. Step 5: Solve for x
    x = 404,050,201/9,306
  6. Step 6: Final answer
    x = 43,418.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.