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Finding the Third Proportional to 3,801 and 8,590.50

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Solution

The third proportional to 3,801 and 8,590.50 is: 19,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801 : 8,590.50 = 8,590.50 : x
  2. Step 2: Convert to fraction form
    3,801/8,590.50 = 8,590.50/x
  3. Step 3: Cross multiply
    3,801x = 8,590.50 × 8,590.50
  4. Step 4: Simplify right side
    3,801x = 73,796,690.25
  5. Step 5: Solve for x
    x = 73,796,690.25/3,801
  6. Step 6: Final answer
    x = 19,415.07

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.