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Finding the Third Proportional to 10,639 and 22,857

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Solution

The third proportional to 10,639 and 22,857 is: 49,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639 : 22,857 = 22,857 : x
  2. Step 2: Convert to fraction form
    10,639/22,857 = 22,857/x
  3. Step 3: Cross multiply
    10,639x = 22,857 × 22,857
  4. Step 4: Simplify right side
    10,639x = 522,442,449
  5. Step 5: Solve for x
    x = 522,442,449/10,639
  6. Step 6: Final answer
    x = 49,106.35

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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.