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Finding the Third Proportional to 31,122.88 and 47,054.88

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Solution

The third proportional to 31,122.88 and 47,054.88 is: 71,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122.88 : 47,054.88 = 47,054.88 : x
  2. Step 2: Convert to fraction form
    31,122.88/47,054.88 = 47,054.88/x
  3. Step 3: Cross multiply
    31,122.88x = 47,054.88 × 47,054.88
  4. Step 4: Simplify right side
    31,122.88x = 2,214,161,261.27
  5. Step 5: Solve for x
    x = 2,214,161,261.27/31,122.88
  6. Step 6: Final answer
    x = 71,142.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.