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Finding the Third Proportional to 6,068 and 12,772

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Solution

The third proportional to 6,068 and 12,772 is: 26,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068 : 12,772 = 12,772 : x
  2. Step 2: Convert to fraction form
    6,068/12,772 = 12,772/x
  3. Step 3: Cross multiply
    6,068x = 12,772 × 12,772
  4. Step 4: Simplify right side
    6,068x = 163,123,984
  5. Step 5: Solve for x
    x = 163,123,984/6,068
  6. Step 6: Final answer
    x = 26,882.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.