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Finding the Third Proportional to 13,976 and 24,024

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Solution

The third proportional to 13,976 and 24,024 is: 41,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976 : 24,024 = 24,024 : x
  2. Step 2: Convert to fraction form
    13,976/24,024 = 24,024/x
  3. Step 3: Cross multiply
    13,976x = 24,024 × 24,024
  4. Step 4: Simplify right side
    13,976x = 577,152,576
  5. Step 5: Solve for x
    x = 577,152,576/13,976
  6. Step 6: Final answer
    x = 41,295.98

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.