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Finding the Third Proportional to 3,785.63 and 5,810.91

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Solution

The third proportional to 3,785.63 and 5,810.91 is: 8,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.63 : 5,810.91 = 5,810.91 : x
  2. Step 2: Convert to fraction form
    3,785.63/5,810.91 = 5,810.91/x
  3. Step 3: Cross multiply
    3,785.63x = 5,810.91 × 5,810.91
  4. Step 4: Simplify right side
    3,785.63x = 33,766,631.45
  5. Step 5: Solve for x
    x = 33,766,631.45/3,785.63
  6. Step 6: Final answer
    x = 8,919.70

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.