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Finding the Third Proportional to 3,617.25 and 7,929.38

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Solution

The third proportional to 3,617.25 and 7,929.38 is: 17,381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.25 : 7,929.38 = 7,929.38 : x
  2. Step 2: Convert to fraction form
    3,617.25/7,929.38 = 7,929.38/x
  3. Step 3: Cross multiply
    3,617.25x = 7,929.38 × 7,929.38
  4. Step 4: Simplify right side
    3,617.25x = 62,874,987.89
  5. Step 5: Solve for x
    x = 62,874,987.89/3,617.25
  6. Step 6: Final answer
    x = 17,381.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.