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Finding the Third Proportional to 4,036.99 and 8,657.86

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Solution

The third proportional to 4,036.99 and 8,657.86 is: 18,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,036.99 : 8,657.86 = 8,657.86 : x
  2. Step 2: Convert to fraction form
    4,036.99/8,657.86 = 8,657.86/x
  3. Step 3: Cross multiply
    4,036.99x = 8,657.86 × 8,657.86
  4. Step 4: Simplify right side
    4,036.99x = 74,958,528.96
  5. Step 5: Solve for x
    x = 74,958,528.96/4,036.99
  6. Step 6: Final answer
    x = 18,567.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.