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Finding the Third Proportional to 14,190.19 and 18,824.91

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Solution

The third proportional to 14,190.19 and 18,824.91 is: 24,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190.19 : 18,824.91 = 18,824.91 : x
  2. Step 2: Convert to fraction form
    14,190.19/18,824.91 = 18,824.91/x
  3. Step 3: Cross multiply
    14,190.19x = 18,824.91 × 18,824.91
  4. Step 4: Simplify right side
    14,190.19x = 354,377,095.32
  5. Step 5: Solve for x
    x = 354,377,095.32/14,190.19
  6. Step 6: Final answer
    x = 24,973.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.