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Finding the Third Proportional to 33,477.05 and 51,813.11

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Solution

The third proportional to 33,477.05 and 51,813.11 is: 80,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,477.05 : 51,813.11 = 51,813.11 : x
  2. Step 2: Convert to fraction form
    33,477.05/51,813.11 = 51,813.11/x
  3. Step 3: Cross multiply
    33,477.05x = 51,813.11 × 51,813.11
  4. Step 4: Simplify right side
    33,477.05x = 2,684,597,898.32
  5. Step 5: Solve for x
    x = 2,684,597,898.32/33,477.05
  6. Step 6: Final answer
    x = 80,192.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.