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Finding the Third Proportional to 30,183 and 47,095.50

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Solution

The third proportional to 30,183 and 47,095.50 is: 73,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,183 : 47,095.50 = 47,095.50 : x
  2. Step 2: Convert to fraction form
    30,183/47,095.50 = 47,095.50/x
  3. Step 3: Cross multiply
    30,183x = 47,095.50 × 47,095.50
  4. Step 4: Simplify right side
    30,183x = 2,217,986,120.25
  5. Step 5: Solve for x
    x = 2,217,986,120.25/30,183
  6. Step 6: Final answer
    x = 73,484.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.