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Finding the Third Proportional to 10,659 and 23,019

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Solution

The third proportional to 10,659 and 23,019 is: 49,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659 : 23,019 = 23,019 : x
  2. Step 2: Convert to fraction form
    10,659/23,019 = 23,019/x
  3. Step 3: Cross multiply
    10,659x = 23,019 × 23,019
  4. Step 4: Simplify right side
    10,659x = 529,874,361
  5. Step 5: Solve for x
    x = 529,874,361/10,659
  6. Step 6: Final answer
    x = 49,711.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.