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Finding the Third Proportional to 935.63 and 1,406.44

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Solution

The third proportional to 935.63 and 1,406.44 is: 2,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.63 : 1,406.44 = 1,406.44 : x
  2. Step 2: Convert to fraction form
    935.63/1,406.44 = 1,406.44/x
  3. Step 3: Cross multiply
    935.63x = 1,406.44 × 1,406.44
  4. Step 4: Simplify right side
    935.63x = 1,978,066.44
  5. Step 5: Solve for x
    x = 1,978,066.44/935.63
  6. Step 6: Final answer
    x = 2,114.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.