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Finding the Third Proportional to 20,533.50 and 29,089.13

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Solution

The third proportional to 20,533.50 and 29,089.13 is: 41,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.50 : 29,089.13 = 29,089.13 : x
  2. Step 2: Convert to fraction form
    20,533.50/29,089.13 = 29,089.13/x
  3. Step 3: Cross multiply
    20,533.50x = 29,089.13 × 29,089.13
  4. Step 4: Simplify right side
    20,533.50x = 846,177,193.27
  5. Step 5: Solve for x
    x = 846,177,193.27/20,533.50
  6. Step 6: Final answer
    x = 41,209.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.