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Finding the Third Proportional to 22,775 and 48,953

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Solution

The third proportional to 22,775 and 48,953 is: 105,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775 : 48,953 = 48,953 : x
  2. Step 2: Convert to fraction form
    22,775/48,953 = 48,953/x
  3. Step 3: Cross multiply
    22,775x = 48,953 × 48,953
  4. Step 4: Simplify right side
    22,775x = 2,396,396,209
  5. Step 5: Solve for x
    x = 2,396,396,209/22,775
  6. Step 6: Final answer
    x = 105,220.47

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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.