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Finding the Third Proportional to 29,165.70 and 47,105.93

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Solution

The third proportional to 29,165.70 and 47,105.93 is: 76,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,165.70 : 47,105.93 = 47,105.93 : x
  2. Step 2: Convert to fraction form
    29,165.70/47,105.93 = 47,105.93/x
  3. Step 3: Cross multiply
    29,165.70x = 47,105.93 × 47,105.93
  4. Step 4: Simplify right side
    29,165.70x = 2,218,968,611.72
  5. Step 5: Solve for x
    x = 2,218,968,611.72/29,165.70
  6. Step 6: Final answer
    x = 76,081.46

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.