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Finding the Third Proportional to 7,024 and 13,024

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Solution

The third proportional to 7,024 and 13,024 is: 24,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024 : 13,024 = 13,024 : x
  2. Step 2: Convert to fraction form
    7,024/13,024 = 13,024/x
  3. Step 3: Cross multiply
    7,024x = 13,024 × 13,024
  4. Step 4: Simplify right side
    7,024x = 169,624,576
  5. Step 5: Solve for x
    x = 169,624,576/7,024
  6. Step 6: Final answer
    x = 24,149.28

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.