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Finding the Third Proportional to 1,787.91 and 2,783.53

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Solution

The third proportional to 1,787.91 and 2,783.53 is: 4,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.91 : 2,783.53 = 2,783.53 : x
  2. Step 2: Convert to fraction form
    1,787.91/2,783.53 = 2,783.53/x
  3. Step 3: Cross multiply
    1,787.91x = 2,783.53 × 2,783.53
  4. Step 4: Simplify right side
    1,787.91x = 7,748,046.22
  5. Step 5: Solve for x
    x = 7,748,046.22/1,787.91
  6. Step 6: Final answer
    x = 4,333.59

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.