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Finding the Third Proportional to 11,964 and 13,068

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Solution

The third proportional to 11,964 and 13,068 is: 14,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964 : 13,068 = 13,068 : x
  2. Step 2: Convert to fraction form
    11,964/13,068 = 13,068/x
  3. Step 3: Cross multiply
    11,964x = 13,068 × 13,068
  4. Step 4: Simplify right side
    11,964x = 170,772,624
  5. Step 5: Solve for x
    x = 170,772,624/11,964
  6. Step 6: Final answer
    x = 14,273.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.