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Finding the Third Proportional to 23,120 and 51,416

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Solution

The third proportional to 23,120 and 51,416 is: 114,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,120 : 51,416 = 51,416 : x
  2. Step 2: Convert to fraction form
    23,120/51,416 = 51,416/x
  3. Step 3: Cross multiply
    23,120x = 51,416 × 51,416
  4. Step 4: Simplify right side
    23,120x = 2,643,605,056
  5. Step 5: Solve for x
    x = 2,643,605,056/23,120
  6. Step 6: Final answer
    x = 114,342.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.