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Finding the Third Proportional to 964.25 and 1,428.25

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Solution

The third proportional to 964.25 and 1,428.25 is: 2,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.25 : 1,428.25 = 1,428.25 : x
  2. Step 2: Convert to fraction form
    964.25/1,428.25 = 1,428.25/x
  3. Step 3: Cross multiply
    964.25x = 1,428.25 × 1,428.25
  4. Step 4: Simplify right side
    964.25x = 2,039,898.06
  5. Step 5: Solve for x
    x = 2,039,898.06/964.25
  6. Step 6: Final answer
    x = 2,115.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.