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Finding the Third Proportional to 9,774 and 12,960

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Solution

The third proportional to 9,774 and 12,960 is: 17,184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 12,960 = 12,960 : x
  2. Step 2: Convert to fraction form
    9,774/12,960 = 12,960/x
  3. Step 3: Cross multiply
    9,774x = 12,960 × 12,960
  4. Step 4: Simplify right side
    9,774x = 167,961,600
  5. Step 5: Solve for x
    x = 167,961,600/9,774
  6. Step 6: Final answer
    x = 17,184.53

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.