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Finding the Third Proportional to 31,975.88 and 44,727.19

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Solution

The third proportional to 31,975.88 and 44,727.19 is: 62,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,975.88 : 44,727.19 = 44,727.19 : x
  2. Step 2: Convert to fraction form
    31,975.88/44,727.19 = 44,727.19/x
  3. Step 3: Cross multiply
    31,975.88x = 44,727.19 × 44,727.19
  4. Step 4: Simplify right side
    31,975.88x = 2,000,521,301.66
  5. Step 5: Solve for x
    x = 2,000,521,301.66/31,975.88
  6. Step 6: Final answer
    x = 62,563.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.