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Finding the Third Proportional to 1,023.94 and 1,536.94

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Solution

The third proportional to 1,023.94 and 1,536.94 is: 2,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.94 : 1,536.94 = 1,536.94 : x
  2. Step 2: Convert to fraction form
    1,023.94/1,536.94 = 1,536.94/x
  3. Step 3: Cross multiply
    1,023.94x = 1,536.94 × 1,536.94
  4. Step 4: Simplify right side
    1,023.94x = 2,362,176.88
  5. Step 5: Solve for x
    x = 2,362,176.88/1,023.94
  6. Step 6: Final answer
    x = 2,306.95

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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.