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Finding the Third Proportional to 7,024 and 16,138

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Solution

The third proportional to 7,024 and 16,138 is: 37,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024 : 16,138 = 16,138 : x
  2. Step 2: Convert to fraction form
    7,024/16,138 = 16,138/x
  3. Step 3: Cross multiply
    7,024x = 16,138 × 16,138
  4. Step 4: Simplify right side
    7,024x = 260,435,044
  5. Step 5: Solve for x
    x = 260,435,044/7,024
  6. Step 6: Final answer
    x = 37,077.88

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.