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Finding the Third Proportional to 20,039.91 and 34,209.84

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Solution

The third proportional to 20,039.91 and 34,209.84 is: 58,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,039.91 : 34,209.84 = 34,209.84 : x
  2. Step 2: Convert to fraction form
    20,039.91/34,209.84 = 34,209.84/x
  3. Step 3: Cross multiply
    20,039.91x = 34,209.84 × 34,209.84
  4. Step 4: Simplify right side
    20,039.91x = 1,170,313,409.40
  5. Step 5: Solve for x
    x = 1,170,313,409.40/20,039.91
  6. Step 6: Final answer
    x = 58,399.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.