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Finding the Third Proportional to 28,846.13 and 47,893.78

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Solution

The third proportional to 28,846.13 and 47,893.78 is: 79,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,846.13 : 47,893.78 = 47,893.78 : x
  2. Step 2: Convert to fraction form
    28,846.13/47,893.78 = 47,893.78/x
  3. Step 3: Cross multiply
    28,846.13x = 47,893.78 × 47,893.78
  4. Step 4: Simplify right side
    28,846.13x = 2,293,814,282.42
  5. Step 5: Solve for x
    x = 2,293,814,282.42/28,846.13
  6. Step 6: Final answer
    x = 79,518.97

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.