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Finding the Third Proportional to 36,050.06 and 77,647.13

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Solution

The third proportional to 36,050.06 and 77,647.13 is: 167,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,050.06 : 77,647.13 = 77,647.13 : x
  2. Step 2: Convert to fraction form
    36,050.06/77,647.13 = 77,647.13/x
  3. Step 3: Cross multiply
    36,050.06x = 77,647.13 × 77,647.13
  4. Step 4: Simplify right side
    36,050.06x = 6,029,076,020.77
  5. Step 5: Solve for x
    x = 6,029,076,020.77/36,050.06
  6. Step 6: Final answer
    x = 167,241.76

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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.