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Finding the Third Proportional to 1,964.88 and 3,066.93

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Solution

The third proportional to 1,964.88 and 3,066.93 is: 4,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.88 : 3,066.93 = 3,066.93 : x
  2. Step 2: Convert to fraction form
    1,964.88/3,066.93 = 3,066.93/x
  3. Step 3: Cross multiply
    1,964.88x = 3,066.93 × 3,066.93
  4. Step 4: Simplify right side
    1,964.88x = 9,406,033.75
  5. Step 5: Solve for x
    x = 9,406,033.75/1,964.88
  6. Step 6: Final answer
    x = 4,787.07

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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.