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Finding the Third Proportional to 31,984.88 and 49,344.19

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Solution

The third proportional to 31,984.88 and 49,344.19 is: 76,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984.88 : 49,344.19 = 49,344.19 : x
  2. Step 2: Convert to fraction form
    31,984.88/49,344.19 = 49,344.19/x
  3. Step 3: Cross multiply
    31,984.88x = 49,344.19 × 49,344.19
  4. Step 4: Simplify right side
    31,984.88x = 2,434,848,840.04
  5. Step 5: Solve for x
    x = 2,434,848,840.04/31,984.88
  6. Step 6: Final answer
    x = 76,125.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.