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Finding the Third Proportional to 3,636.38 and 5,767.13

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Solution

The third proportional to 3,636.38 and 5,767.13 is: 9,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.38 : 5,767.13 = 5,767.13 : x
  2. Step 2: Convert to fraction form
    3,636.38/5,767.13 = 5,767.13/x
  3. Step 3: Cross multiply
    3,636.38x = 5,767.13 × 5,767.13
  4. Step 4: Simplify right side
    3,636.38x = 33,259,730.77
  5. Step 5: Solve for x
    x = 33,259,730.77/3,636.38
  6. Step 6: Final answer
    x = 9,146.40

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.