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Finding the Third Proportional to 3,668.75 and 7,922.25

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Solution

The third proportional to 3,668.75 and 7,922.25 is: 17,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.75 : 7,922.25 = 7,922.25 : x
  2. Step 2: Convert to fraction form
    3,668.75/7,922.25 = 7,922.25/x
  3. Step 3: Cross multiply
    3,668.75x = 7,922.25 × 7,922.25
  4. Step 4: Simplify right side
    3,668.75x = 62,762,045.06
  5. Step 5: Solve for x
    x = 62,762,045.06/3,668.75
  6. Step 6: Final answer
    x = 17,107.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.