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Finding the Third Proportional to 20,687 and 32,773

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Solution

The third proportional to 20,687 and 32,773 is: 51,920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687 : 32,773 = 32,773 : x
  2. Step 2: Convert to fraction form
    20,687/32,773 = 32,773/x
  3. Step 3: Cross multiply
    20,687x = 32,773 × 32,773
  4. Step 4: Simplify right side
    20,687x = 1,074,069,529
  5. Step 5: Solve for x
    x = 1,074,069,529/20,687
  6. Step 6: Final answer
    x = 51,920.02

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.