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Finding the Third Proportional to 22,323 and 44,094

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Solution

The third proportional to 22,323 and 44,094 is: 87,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,323 : 44,094 = 44,094 : x
  2. Step 2: Convert to fraction form
    22,323/44,094 = 44,094/x
  3. Step 3: Cross multiply
    22,323x = 44,094 × 44,094
  4. Step 4: Simplify right side
    22,323x = 1,944,280,836
  5. Step 5: Solve for x
    x = 1,944,280,836/22,323
  6. Step 6: Final answer
    x = 87,097.65

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.