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Finding the Third Proportional to 14,024.95 and 20,494.97

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Solution

The third proportional to 14,024.95 and 20,494.97 is: 29,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.95 : 20,494.97 = 20,494.97 : x
  2. Step 2: Convert to fraction form
    14,024.95/20,494.97 = 20,494.97/x
  3. Step 3: Cross multiply
    14,024.95x = 20,494.97 × 20,494.97
  4. Step 4: Simplify right side
    14,024.95x = 420,043,744.06
  5. Step 5: Solve for x
    x = 420,043,744.06/14,024.95
  6. Step 6: Final answer
    x = 29,949.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.