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Finding the Third Proportional to 14,000 and 18,472

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Solution

The third proportional to 14,000 and 18,472 is: 24,372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000 : 18,472 = 18,472 : x
  2. Step 2: Convert to fraction form
    14,000/18,472 = 18,472/x
  3. Step 3: Cross multiply
    14,000x = 18,472 × 18,472
  4. Step 4: Simplify right side
    14,000x = 341,214,784
  5. Step 5: Solve for x
    x = 341,214,784/14,000
  6. Step 6: Final answer
    x = 24,372.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.