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Finding the Third Proportional to 34,357 and 52,013

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Solution

The third proportional to 34,357 and 52,013 is: 78,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,357 : 52,013 = 52,013 : x
  2. Step 2: Convert to fraction form
    34,357/52,013 = 52,013/x
  3. Step 3: Cross multiply
    34,357x = 52,013 × 52,013
  4. Step 4: Simplify right side
    34,357x = 2,705,352,169
  5. Step 5: Solve for x
    x = 2,705,352,169/34,357
  6. Step 6: Final answer
    x = 78,742.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.