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Finding the Third Proportional to 5,237 and 8,024

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Solution

The third proportional to 5,237 and 8,024 is: 12,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237 : 8,024 = 8,024 : x
  2. Step 2: Convert to fraction form
    5,237/8,024 = 8,024/x
  3. Step 3: Cross multiply
    5,237x = 8,024 × 8,024
  4. Step 4: Simplify right side
    5,237x = 64,384,576
  5. Step 5: Solve for x
    x = 64,384,576/5,237
  6. Step 6: Final answer
    x = 12,294.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.