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Finding the Third Proportional to 33,529.50 and 46,988.44

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Solution

The third proportional to 33,529.50 and 46,988.44 is: 65,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,529.50 : 46,988.44 = 46,988.44 : x
  2. Step 2: Convert to fraction form
    33,529.50/46,988.44 = 46,988.44/x
  3. Step 3: Cross multiply
    33,529.50x = 46,988.44 × 46,988.44
  4. Step 4: Simplify right side
    33,529.50x = 2,207,913,258.69
  5. Step 5: Solve for x
    x = 2,207,913,258.69/33,529.50
  6. Step 6: Final answer
    x = 65,849.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.