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Finding the Third Proportional to 1,011.25 and 1,521.75

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Solution

The third proportional to 1,011.25 and 1,521.75 is: 2,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.25 : 1,521.75 = 1,521.75 : x
  2. Step 2: Convert to fraction form
    1,011.25/1,521.75 = 1,521.75/x
  3. Step 3: Cross multiply
    1,011.25x = 1,521.75 × 1,521.75
  4. Step 4: Simplify right side
    1,011.25x = 2,315,723.06
  5. Step 5: Solve for x
    x = 2,315,723.06/1,011.25
  6. Step 6: Final answer
    x = 2,289.96

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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.