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Finding the Third Proportional to 31,293 and 47,989.13

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Solution

The third proportional to 31,293 and 47,989.13 is: 73,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,293 : 47,989.13 = 47,989.13 : x
  2. Step 2: Convert to fraction form
    31,293/47,989.13 = 47,989.13/x
  3. Step 3: Cross multiply
    31,293x = 47,989.13 × 47,989.13
  4. Step 4: Simplify right side
    31,293x = 2,302,956,118.27
  5. Step 5: Solve for x
    x = 2,302,956,118.27/31,293
  6. Step 6: Final answer
    x = 73,593.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.