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Finding the Third Proportional to 954.98 and 1,123.73

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Solution

The third proportional to 954.98 and 1,123.73 is: 1,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.98 : 1,123.73 = 1,123.73 : x
  2. Step 2: Convert to fraction form
    954.98/1,123.73 = 1,123.73/x
  3. Step 3: Cross multiply
    954.98x = 1,123.73 × 1,123.73
  4. Step 4: Simplify right side
    954.98x = 1,262,778.95
  5. Step 5: Solve for x
    x = 1,262,778.95/954.98
  6. Step 6: Final answer
    x = 1,322.30

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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.