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Finding the Third Proportional to 10,880 and 22,706

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Solution

The third proportional to 10,880 and 22,706 is: 47,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880 : 22,706 = 22,706 : x
  2. Step 2: Convert to fraction form
    10,880/22,706 = 22,706/x
  3. Step 3: Cross multiply
    10,880x = 22,706 × 22,706
  4. Step 4: Simplify right side
    10,880x = 515,562,436
  5. Step 5: Solve for x
    x = 515,562,436/10,880
  6. Step 6: Final answer
    x = 47,386.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.