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Finding the Third Proportional to 4,250.25 and 9,185.06

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Solution

The third proportional to 4,250.25 and 9,185.06 is: 19,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,250.25 : 9,185.06 = 9,185.06 : x
  2. Step 2: Convert to fraction form
    4,250.25/9,185.06 = 9,185.06/x
  3. Step 3: Cross multiply
    4,250.25x = 9,185.06 × 9,185.06
  4. Step 4: Simplify right side
    4,250.25x = 84,365,373.13
  5. Step 5: Solve for x
    x = 84,365,373.13/4,250.25
  6. Step 6: Final answer
    x = 19,849.51

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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.