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Finding the Third Proportional to 10,501 and 22,726

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Solution

The third proportional to 10,501 and 22,726 is: 49,183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501 : 22,726 = 22,726 : x
  2. Step 2: Convert to fraction form
    10,501/22,726 = 22,726/x
  3. Step 3: Cross multiply
    10,501x = 22,726 × 22,726
  4. Step 4: Simplify right side
    10,501x = 516,471,076
  5. Step 5: Solve for x
    x = 516,471,076/10,501
  6. Step 6: Final answer
    x = 49,183.04

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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.