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Finding the Third Proportional to 24,222 and 52,140

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Solution

The third proportional to 24,222 and 52,140 is: 112,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,222 : 52,140 = 52,140 : x
  2. Step 2: Convert to fraction form
    24,222/52,140 = 52,140/x
  3. Step 3: Cross multiply
    24,222x = 52,140 × 52,140
  4. Step 4: Simplify right side
    24,222x = 2,718,579,600
  5. Step 5: Solve for x
    x = 2,718,579,600/24,222
  6. Step 6: Final answer
    x = 112,235.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.