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Finding the Third Proportional to 36,766.50 and 78,717

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Solution

The third proportional to 36,766.50 and 78,717 is: 168,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,766.50 : 78,717 = 78,717 : x
  2. Step 2: Convert to fraction form
    36,766.50/78,717 = 78,717/x
  3. Step 3: Cross multiply
    36,766.50x = 78,717 × 78,717
  4. Step 4: Simplify right side
    36,766.50x = 6,196,366,089
  5. Step 5: Solve for x
    x = 6,196,366,089/36,766.50
  6. Step 6: Final answer
    x = 168,532.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.