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Finding the Third Proportional to 34,265.44 and 51,397.88

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Solution

The third proportional to 34,265.44 and 51,397.88 is: 77,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,265.44 : 51,397.88 = 51,397.88 : x
  2. Step 2: Convert to fraction form
    34,265.44/51,397.88 = 51,397.88/x
  3. Step 3: Cross multiply
    34,265.44x = 51,397.88 × 51,397.88
  4. Step 4: Simplify right side
    34,265.44x = 2,641,741,554.52
  5. Step 5: Solve for x
    x = 2,641,741,554.52/34,265.44
  6. Step 6: Final answer
    x = 77,096.39

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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.