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Finding the Third Proportional to 22,245 and 34,645

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Solution

The third proportional to 22,245 and 34,645 is: 53,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,245 : 34,645 = 34,645 : x
  2. Step 2: Convert to fraction form
    22,245/34,645 = 34,645/x
  3. Step 3: Cross multiply
    22,245x = 34,645 × 34,645
  4. Step 4: Simplify right side
    22,245x = 1,200,276,025
  5. Step 5: Solve for x
    x = 1,200,276,025/22,245
  6. Step 6: Final answer
    x = 53,957.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.