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Finding the Third Proportional to 962.44 and 1,376.30

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Solution

The third proportional to 962.44 and 1,376.30 is: 1,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.44 : 1,376.30 = 1,376.30 : x
  2. Step 2: Convert to fraction form
    962.44/1,376.30 = 1,376.30/x
  3. Step 3: Cross multiply
    962.44x = 1,376.30 × 1,376.30
  4. Step 4: Simplify right side
    962.44x = 1,894,193.09
  5. Step 5: Solve for x
    x = 1,894,193.09/962.44
  6. Step 6: Final answer
    x = 1,968.12

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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.