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Finding the Third Proportional to 20,712 and 32,944.50

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Solution

The third proportional to 20,712 and 32,944.50 is: 52,401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,712 : 32,944.50 = 32,944.50 : x
  2. Step 2: Convert to fraction form
    20,712/32,944.50 = 32,944.50/x
  3. Step 3: Cross multiply
    20,712x = 32,944.50 × 32,944.50
  4. Step 4: Simplify right side
    20,712x = 1,085,340,080.25
  5. Step 5: Solve for x
    x = 1,085,340,080.25/20,712
  6. Step 6: Final answer
    x = 52,401.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.