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Finding the Third Proportional to 23,856 and 52,140

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Solution

The third proportional to 23,856 and 52,140 is: 113,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856 : 52,140 = 52,140 : x
  2. Step 2: Convert to fraction form
    23,856/52,140 = 52,140/x
  3. Step 3: Cross multiply
    23,856x = 52,140 × 52,140
  4. Step 4: Simplify right side
    23,856x = 2,718,579,600
  5. Step 5: Solve for x
    x = 2,718,579,600/23,856
  6. Step 6: Final answer
    x = 113,957.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.