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Finding the Third Proportional to 8,255.25 and 10,499.63

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Solution

The third proportional to 8,255.25 and 10,499.63 is: 13,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.25 : 10,499.63 = 10,499.63 : x
  2. Step 2: Convert to fraction form
    8,255.25/10,499.63 = 10,499.63/x
  3. Step 3: Cross multiply
    8,255.25x = 10,499.63 × 10,499.63
  4. Step 4: Simplify right side
    8,255.25x = 110,242,125.14
  5. Step 5: Solve for x
    x = 110,242,125.14/8,255.25
  6. Step 6: Final answer
    x = 13,354.18

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.