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Finding the Third Proportional to 4,306 and 9,976

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Solution

The third proportional to 4,306 and 9,976 is: 23,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306 : 9,976 = 9,976 : x
  2. Step 2: Convert to fraction form
    4,306/9,976 = 9,976/x
  3. Step 3: Cross multiply
    4,306x = 9,976 × 9,976
  4. Step 4: Simplify right side
    4,306x = 99,520,576
  5. Step 5: Solve for x
    x = 99,520,576/4,306
  6. Step 6: Final answer
    x = 23,112.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.