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Finding the Third Proportional to 34,711.50 and 51,918

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Solution

The third proportional to 34,711.50 and 51,918 is: 77,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,711.50 : 51,918 = 51,918 : x
  2. Step 2: Convert to fraction form
    34,711.50/51,918 = 51,918/x
  3. Step 3: Cross multiply
    34,711.50x = 51,918 × 51,918
  4. Step 4: Simplify right side
    34,711.50x = 2,695,478,724
  5. Step 5: Solve for x
    x = 2,695,478,724/34,711.50
  6. Step 6: Final answer
    x = 77,653.77

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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.