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Finding the Third Proportional to 33,037 and 51,013

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Solution

The third proportional to 33,037 and 51,013 is: 78,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,037 : 51,013 = 51,013 : x
  2. Step 2: Convert to fraction form
    33,037/51,013 = 51,013/x
  3. Step 3: Cross multiply
    33,037x = 51,013 × 51,013
  4. Step 4: Simplify right side
    33,037x = 2,602,326,169
  5. Step 5: Solve for x
    x = 2,602,326,169/33,037
  6. Step 6: Final answer
    x = 78,770.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.