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Finding the Third Proportional to 10,944 and 12,078

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Solution

The third proportional to 10,944 and 12,078 is: 13,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944 : 12,078 = 12,078 : x
  2. Step 2: Convert to fraction form
    10,944/12,078 = 12,078/x
  3. Step 3: Cross multiply
    10,944x = 12,078 × 12,078
  4. Step 4: Simplify right side
    10,944x = 145,878,084
  5. Step 5: Solve for x
    x = 145,878,084/10,944
  6. Step 6: Final answer
    x = 13,329.50

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.