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Finding the Third Proportional to 14,222 and 30,500

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Solution

The third proportional to 14,222 and 30,500 is: 65,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222 : 30,500 = 30,500 : x
  2. Step 2: Convert to fraction form
    14,222/30,500 = 30,500/x
  3. Step 3: Cross multiply
    14,222x = 30,500 × 30,500
  4. Step 4: Simplify right side
    14,222x = 930,250,000
  5. Step 5: Solve for x
    x = 930,250,000/14,222
  6. Step 6: Final answer
    x = 65,409.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.