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Finding the Third Proportional to 6,007.29 and 13,184.02

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Solution

The third proportional to 6,007.29 and 13,184.02 is: 28,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.29 : 13,184.02 = 13,184.02 : x
  2. Step 2: Convert to fraction form
    6,007.29/13,184.02 = 13,184.02/x
  3. Step 3: Cross multiply
    6,007.29x = 13,184.02 × 13,184.02
  4. Step 4: Simplify right side
    6,007.29x = 173,818,268.00
  5. Step 5: Solve for x
    x = 173,818,268.00/6,007.29
  6. Step 6: Final answer
    x = 28,934.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.