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Finding the Third Proportional to 3,758.91 and 5,926.92

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Solution

The third proportional to 3,758.91 and 5,926.92 is: 9,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.91 : 5,926.92 = 5,926.92 : x
  2. Step 2: Convert to fraction form
    3,758.91/5,926.92 = 5,926.92/x
  3. Step 3: Cross multiply
    3,758.91x = 5,926.92 × 5,926.92
  4. Step 4: Simplify right side
    3,758.91x = 35,128,402.91
  5. Step 5: Solve for x
    x = 35,128,402.91/3,758.91
  6. Step 6: Final answer
    x = 9,345.38

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.