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Finding the Third Proportional to 963.08 and 1,376.20

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Solution

The third proportional to 963.08 and 1,376.20 is: 1,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.08 : 1,376.20 = 1,376.20 : x
  2. Step 2: Convert to fraction form
    963.08/1,376.20 = 1,376.20/x
  3. Step 3: Cross multiply
    963.08x = 1,376.20 × 1,376.20
  4. Step 4: Simplify right side
    963.08x = 1,893,935.04
  5. Step 5: Solve for x
    x = 1,893,935.04/963.08
  6. Step 6: Final answer
    x = 1,966.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.