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Finding the Third Proportional to 964.41 and 1,137.80

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Solution

The third proportional to 964.41 and 1,137.80 is: 1,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.41 : 1,137.80 = 1,137.80 : x
  2. Step 2: Convert to fraction form
    964.41/1,137.80 = 1,137.80/x
  3. Step 3: Cross multiply
    964.41x = 1,137.80 × 1,137.80
  4. Step 4: Simplify right side
    964.41x = 1,294,581.73
  5. Step 5: Solve for x
    x = 1,294,581.73/964.41
  6. Step 6: Final answer
    x = 1,342.36

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.