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Finding the Third Proportional to 3,684.38 and 5,252.06

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Solution

The third proportional to 3,684.38 and 5,252.06 is: 7,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.38 : 5,252.06 = 5,252.06 : x
  2. Step 2: Convert to fraction form
    3,684.38/5,252.06 = 5,252.06/x
  3. Step 3: Cross multiply
    3,684.38x = 5,252.06 × 5,252.06
  4. Step 4: Simplify right side
    3,684.38x = 27,584,160.50
  5. Step 5: Solve for x
    x = 27,584,160.50/3,684.38
  6. Step 6: Final answer
    x = 7,486.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.