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Finding the Third Proportional to 12,884 and 14,084

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Solution

The third proportional to 12,884 and 14,084 is: 15,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884 : 14,084 = 14,084 : x
  2. Step 2: Convert to fraction form
    12,884/14,084 = 14,084/x
  3. Step 3: Cross multiply
    12,884x = 14,084 × 14,084
  4. Step 4: Simplify right side
    12,884x = 198,359,056
  5. Step 5: Solve for x
    x = 198,359,056/12,884
  6. Step 6: Final answer
    x = 15,395.77

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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.