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Finding the Third Proportional to 5,997.38 and 9,386.72

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Solution

The third proportional to 5,997.38 and 9,386.72 is: 14,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.38 : 9,386.72 = 9,386.72 : x
  2. Step 2: Convert to fraction form
    5,997.38/9,386.72 = 9,386.72/x
  3. Step 3: Cross multiply
    5,997.38x = 9,386.72 × 9,386.72
  4. Step 4: Simplify right side
    5,997.38x = 88,110,488.89
  5. Step 5: Solve for x
    x = 88,110,488.89/5,997.38
  6. Step 6: Final answer
    x = 14,691.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.