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Finding the Third Proportional to 36,234 and 77,827.50

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Solution

The third proportional to 36,234 and 77,827.50 is: 167,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,234 : 77,827.50 = 77,827.50 : x
  2. Step 2: Convert to fraction form
    36,234/77,827.50 = 77,827.50/x
  3. Step 3: Cross multiply
    36,234x = 77,827.50 × 77,827.50
  4. Step 4: Simplify right side
    36,234x = 6,057,119,756.25
  5. Step 5: Solve for x
    x = 6,057,119,756.25/36,234
  6. Step 6: Final answer
    x = 167,166.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.