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Finding the Third Proportional to 20,783.25 and 39,652.88

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Solution

The third proportional to 20,783.25 and 39,652.88 is: 75,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.25 : 39,652.88 = 39,652.88 : x
  2. Step 2: Convert to fraction form
    20,783.25/39,652.88 = 39,652.88/x
  3. Step 3: Cross multiply
    20,783.25x = 39,652.88 × 39,652.88
  4. Step 4: Simplify right side
    20,783.25x = 1,572,350,495.77
  5. Step 5: Solve for x
    x = 1,572,350,495.77/20,783.25
  6. Step 6: Final answer
    x = 75,654.70

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.