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Finding the Third Proportional to 935.77 and 1,440.04

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Solution

The third proportional to 935.77 and 1,440.04 is: 2,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.77 : 1,440.04 = 1,440.04 : x
  2. Step 2: Convert to fraction form
    935.77/1,440.04 = 1,440.04/x
  3. Step 3: Cross multiply
    935.77x = 1,440.04 × 1,440.04
  4. Step 4: Simplify right side
    935.77x = 2,073,726.56
  5. Step 5: Solve for x
    x = 2,073,726.56/935.77
  6. Step 6: Final answer
    x = 2,216.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.