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Finding the Third Proportional to 12,514 and 14,224

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Solution

The third proportional to 12,514 and 14,224 is: 16,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514 : 14,224 = 14,224 : x
  2. Step 2: Convert to fraction form
    12,514/14,224 = 14,224/x
  3. Step 3: Cross multiply
    12,514x = 14,224 × 14,224
  4. Step 4: Simplify right side
    12,514x = 202,322,176
  5. Step 5: Solve for x
    x = 202,322,176/12,514
  6. Step 6: Final answer
    x = 16,167.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.