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Finding the Third Proportional to 10,726 and 22,620

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Solution

The third proportional to 10,726 and 22,620 is: 47,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726 : 22,620 = 22,620 : x
  2. Step 2: Convert to fraction form
    10,726/22,620 = 22,620/x
  3. Step 3: Cross multiply
    10,726x = 22,620 × 22,620
  4. Step 4: Simplify right side
    10,726x = 511,664,400
  5. Step 5: Solve for x
    x = 511,664,400/10,726
  6. Step 6: Final answer
    x = 47,703.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.