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Finding the Third Proportional to 30,963.63 and 47,444.88

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Solution

The third proportional to 30,963.63 and 47,444.88 is: 72,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963.63 : 47,444.88 = 47,444.88 : x
  2. Step 2: Convert to fraction form
    30,963.63/47,444.88 = 47,444.88/x
  3. Step 3: Cross multiply
    30,963.63x = 47,444.88 × 47,444.88
  4. Step 4: Simplify right side
    30,963.63x = 2,251,016,163.77
  5. Step 5: Solve for x
    x = 2,251,016,163.77/30,963.63
  6. Step 6: Final answer
    x = 72,698.73

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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.