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Finding the Third Proportional to 24,222 and 52,155

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Solution

The third proportional to 24,222 and 52,155 is: 112,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,222 : 52,155 = 52,155 : x
  2. Step 2: Convert to fraction form
    24,222/52,155 = 52,155/x
  3. Step 3: Cross multiply
    24,222x = 52,155 × 52,155
  4. Step 4: Simplify right side
    24,222x = 2,720,144,025
  5. Step 5: Solve for x
    x = 2,720,144,025/24,222
  6. Step 6: Final answer
    x = 112,300.55

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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.