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Finding the Third Proportional to 6,036.19 and 8,499.94

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Solution

The third proportional to 6,036.19 and 8,499.94 is: 11,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.19 : 8,499.94 = 8,499.94 : x
  2. Step 2: Convert to fraction form
    6,036.19/8,499.94 = 8,499.94/x
  3. Step 3: Cross multiply
    6,036.19x = 8,499.94 × 8,499.94
  4. Step 4: Simplify right side
    6,036.19x = 72,248,937.50
  5. Step 5: Solve for x
    x = 72,248,937.50/6,036.19
  6. Step 6: Final answer
    x = 11,969.30

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.