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Finding the Third Proportional to 4,330 and 10,036

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Solution

The third proportional to 4,330 and 10,036 is: 23,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330 : 10,036 = 10,036 : x
  2. Step 2: Convert to fraction form
    4,330/10,036 = 10,036/x
  3. Step 3: Cross multiply
    4,330x = 10,036 × 10,036
  4. Step 4: Simplify right side
    4,330x = 100,721,296
  5. Step 5: Solve for x
    x = 100,721,296/4,330
  6. Step 6: Final answer
    x = 23,261.27

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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.