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Finding the Third Proportional to 34,397 and 51,437

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Solution

The third proportional to 34,397 and 51,437 is: 76,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,397 : 51,437 = 51,437 : x
  2. Step 2: Convert to fraction form
    34,397/51,437 = 51,437/x
  3. Step 3: Cross multiply
    34,397x = 51,437 × 51,437
  4. Step 4: Simplify right side
    34,397x = 2,645,764,969
  5. Step 5: Solve for x
    x = 2,645,764,969/34,397
  6. Step 6: Final answer
    x = 76,918.48

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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.