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Finding the Third Proportional to 20,581 and 31,726

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Solution

The third proportional to 20,581 and 31,726 is: 48,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,581 : 31,726 = 31,726 : x
  2. Step 2: Convert to fraction form
    20,581/31,726 = 31,726/x
  3. Step 3: Cross multiply
    20,581x = 31,726 × 31,726
  4. Step 4: Simplify right side
    20,581x = 1,006,539,076
  5. Step 5: Solve for x
    x = 1,006,539,076/20,581
  6. Step 6: Final answer
    x = 48,906.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.