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Finding the Third Proportional to 18,100 and 24,024

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Solution

The third proportional to 18,100 and 24,024 is: 31,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,100 : 24,024 = 24,024 : x
  2. Step 2: Convert to fraction form
    18,100/24,024 = 24,024/x
  3. Step 3: Cross multiply
    18,100x = 24,024 × 24,024
  4. Step 4: Simplify right side
    18,100x = 577,152,576
  5. Step 5: Solve for x
    x = 577,152,576/18,100
  6. Step 6: Final answer
    x = 31,886.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.