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Finding the Third Proportional to 12,984 and 14,199

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Solution

The third proportional to 12,984 and 14,199 is: 15,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984 : 14,199 = 14,199 : x
  2. Step 2: Convert to fraction form
    12,984/14,199 = 14,199/x
  3. Step 3: Cross multiply
    12,984x = 14,199 × 14,199
  4. Step 4: Simplify right side
    12,984x = 201,611,601
  5. Step 5: Solve for x
    x = 201,611,601/12,984
  6. Step 6: Final answer
    x = 15,527.70

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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.