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Finding the Third Proportional to 9,617 and 12,996

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Solution

The third proportional to 9,617 and 12,996 is: 17,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617 : 12,996 = 12,996 : x
  2. Step 2: Convert to fraction form
    9,617/12,996 = 12,996/x
  3. Step 3: Cross multiply
    9,617x = 12,996 × 12,996
  4. Step 4: Simplify right side
    9,617x = 168,896,016
  5. Step 5: Solve for x
    x = 168,896,016/9,617
  6. Step 6: Final answer
    x = 17,562.24

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.