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Finding the Third Proportional to 3,810.16 and 8,675.86

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Solution

The third proportional to 3,810.16 and 8,675.86 is: 19,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.16 : 8,675.86 = 8,675.86 : x
  2. Step 2: Convert to fraction form
    3,810.16/8,675.86 = 8,675.86/x
  3. Step 3: Cross multiply
    3,810.16x = 8,675.86 × 8,675.86
  4. Step 4: Simplify right side
    3,810.16x = 75,270,535.89
  5. Step 5: Solve for x
    x = 75,270,535.89/3,810.16
  6. Step 6: Final answer
    x = 19,755.20

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.