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Finding the Third Proportional to 34,174 and 51,352

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Solution

The third proportional to 34,174 and 51,352 is: 77,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,174 : 51,352 = 51,352 : x
  2. Step 2: Convert to fraction form
    34,174/51,352 = 51,352/x
  3. Step 3: Cross multiply
    34,174x = 51,352 × 51,352
  4. Step 4: Simplify right side
    34,174x = 2,637,027,904
  5. Step 5: Solve for x
    x = 2,637,027,904/34,174
  6. Step 6: Final answer
    x = 77,164.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.