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Finding the Third Proportional to 14,192 and 22,014

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Solution

The third proportional to 14,192 and 22,014 is: 34,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192 : 22,014 = 22,014 : x
  2. Step 2: Convert to fraction form
    14,192/22,014 = 22,014/x
  3. Step 3: Cross multiply
    14,192x = 22,014 × 22,014
  4. Step 4: Simplify right side
    14,192x = 484,616,196
  5. Step 5: Solve for x
    x = 484,616,196/14,192
  6. Step 6: Final answer
    x = 34,147.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.