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Finding the Third Proportional to 9,593 and 12,960

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Solution

The third proportional to 9,593 and 12,960 is: 17,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593 : 12,960 = 12,960 : x
  2. Step 2: Convert to fraction form
    9,593/12,960 = 12,960/x
  3. Step 3: Cross multiply
    9,593x = 12,960 × 12,960
  4. Step 4: Simplify right side
    9,593x = 167,961,600
  5. Step 5: Solve for x
    x = 167,961,600/9,593
  6. Step 6: Final answer
    x = 17,508.77

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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.