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Finding the Third Proportional to 20,697.47 and 32,787.84

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Solution

The third proportional to 20,697.47 and 32,787.84 is: 51,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.47 : 32,787.84 = 32,787.84 : x
  2. Step 2: Convert to fraction form
    20,697.47/32,787.84 = 32,787.84/x
  3. Step 3: Cross multiply
    20,697.47x = 32,787.84 × 32,787.84
  4. Step 4: Simplify right side
    20,697.47x = 1,075,042,697.77
  5. Step 5: Solve for x
    x = 1,075,042,697.77/20,697.47
  6. Step 6: Final answer
    x = 51,940.78

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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.