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Finding the Third Proportional to 6,007.50 and 13,068

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Solution

The third proportional to 6,007.50 and 13,068 is: 28,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.50 : 13,068 = 13,068 : x
  2. Step 2: Convert to fraction form
    6,007.50/13,068 = 13,068/x
  3. Step 3: Cross multiply
    6,007.50x = 13,068 × 13,068
  4. Step 4: Simplify right side
    6,007.50x = 170,772,624
  5. Step 5: Solve for x
    x = 170,772,624/6,007.50
  6. Step 6: Final answer
    x = 28,426.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.