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Finding the Third Proportional to 3,482.86 and 7,657.59

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Solution

The third proportional to 3,482.86 and 7,657.59 is: 16,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.86 : 7,657.59 = 7,657.59 : x
  2. Step 2: Convert to fraction form
    3,482.86/7,657.59 = 7,657.59/x
  3. Step 3: Cross multiply
    3,482.86x = 7,657.59 × 7,657.59
  4. Step 4: Simplify right side
    3,482.86x = 58,638,742.04
  5. Step 5: Solve for x
    x = 58,638,742.04/3,482.86
  6. Step 6: Final answer
    x = 16,836.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.