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Finding the Third Proportional to 34,196 and 51,294

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Solution

The third proportional to 34,196 and 51,294 is: 76,941

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196 : 51,294 = 51,294 : x
  2. Step 2: Convert to fraction form
    34,196/51,294 = 51,294/x
  3. Step 3: Cross multiply
    34,196x = 51,294 × 51,294
  4. Step 4: Simplify right side
    34,196x = 2,631,074,436
  5. Step 5: Solve for x
    x = 2,631,074,436/34,196
  6. Step 6: Final answer
    x = 76,941

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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.