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Finding the Third Proportional to 962.97 and 1,376.09

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Solution

The third proportional to 962.97 and 1,376.09 is: 1,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.97 : 1,376.09 = 1,376.09 : x
  2. Step 2: Convert to fraction form
    962.97/1,376.09 = 1,376.09/x
  3. Step 3: Cross multiply
    962.97x = 1,376.09 × 1,376.09
  4. Step 4: Simplify right side
    962.97x = 1,893,634.01
  5. Step 5: Solve for x
    x = 1,893,634.01/962.97
  6. Step 6: Final answer
    x = 1,966.45

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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.