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Finding the Third Proportional to 9,232 and 20,134.88

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Solution

The third proportional to 9,232 and 20,134.88 is: 43,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232 : 20,134.88 = 20,134.88 : x
  2. Step 2: Convert to fraction form
    9,232/20,134.88 = 20,134.88/x
  3. Step 3: Cross multiply
    9,232x = 20,134.88 × 20,134.88
  4. Step 4: Simplify right side
    9,232x = 405,413,191.27
  5. Step 5: Solve for x
    x = 405,413,191.27/9,232
  6. Step 6: Final answer
    x = 43,913.91

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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.