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Finding the Third Proportional to 10,690 and 22,958

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Solution

The third proportional to 10,690 and 22,958 is: 49,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690 : 22,958 = 22,958 : x
  2. Step 2: Convert to fraction form
    10,690/22,958 = 22,958/x
  3. Step 3: Cross multiply
    10,690x = 22,958 × 22,958
  4. Step 4: Simplify right side
    10,690x = 527,069,764
  5. Step 5: Solve for x
    x = 527,069,764/10,690
  6. Step 6: Final answer
    x = 49,304.94

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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.