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Finding the Third Proportional to 962.78 and 1,375.81

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Solution

The third proportional to 962.78 and 1,375.81 is: 1,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.78 : 1,375.81 = 1,375.81 : x
  2. Step 2: Convert to fraction form
    962.78/1,375.81 = 1,375.81/x
  3. Step 3: Cross multiply
    962.78x = 1,375.81 × 1,375.81
  4. Step 4: Simplify right side
    962.78x = 1,892,860.04
  5. Step 5: Solve for x
    x = 1,892,860.04/962.78
  6. Step 6: Final answer
    x = 1,966.03

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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.