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Finding the Third Proportional to 22,698 and 35,427

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Solution

The third proportional to 22,698 and 35,427 is: 55,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,698 : 35,427 = 35,427 : x
  2. Step 2: Convert to fraction form
    22,698/35,427 = 35,427/x
  3. Step 3: Cross multiply
    22,698x = 35,427 × 35,427
  4. Step 4: Simplify right side
    22,698x = 1,255,072,329
  5. Step 5: Solve for x
    x = 1,255,072,329/22,698
  6. Step 6: Final answer
    x = 55,294.40

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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.