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Finding the Third Proportional to 22,889 and 48,239

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Solution

The third proportional to 22,889 and 48,239 is: 101,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,889 : 48,239 = 48,239 : x
  2. Step 2: Convert to fraction form
    22,889/48,239 = 48,239/x
  3. Step 3: Cross multiply
    22,889x = 48,239 × 48,239
  4. Step 4: Simplify right side
    22,889x = 2,327,001,121
  5. Step 5: Solve for x
    x = 2,327,001,121/22,889
  6. Step 6: Final answer
    x = 101,664.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.