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Finding the Third Proportional to 7,521.75 and 11,282.06

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Solution

The third proportional to 7,521.75 and 11,282.06 is: 16,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521.75 : 11,282.06 = 11,282.06 : x
  2. Step 2: Convert to fraction form
    7,521.75/11,282.06 = 11,282.06/x
  3. Step 3: Cross multiply
    7,521.75x = 11,282.06 × 11,282.06
  4. Step 4: Simplify right side
    7,521.75x = 127,284,934.25
  5. Step 5: Solve for x
    x = 127,284,934.25/7,521.75
  6. Step 6: Final answer
    x = 16,922.25

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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.