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Finding the Third Proportional to 23,981 and 56,012

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Solution

The third proportional to 23,981 and 56,012 is: 130,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,981 : 56,012 = 56,012 : x
  2. Step 2: Convert to fraction form
    23,981/56,012 = 56,012/x
  3. Step 3: Cross multiply
    23,981x = 56,012 × 56,012
  4. Step 4: Simplify right side
    23,981x = 3,137,344,144
  5. Step 5: Solve for x
    x = 3,137,344,144/23,981
  6. Step 6: Final answer
    x = 130,826.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.