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Finding the Third Proportional to 31,773.94 and 47,663.44

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Solution

The third proportional to 31,773.94 and 47,663.44 is: 71,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.94 : 47,663.44 = 47,663.44 : x
  2. Step 2: Convert to fraction form
    31,773.94/47,663.44 = 47,663.44/x
  3. Step 3: Cross multiply
    31,773.94x = 47,663.44 × 47,663.44
  4. Step 4: Simplify right side
    31,773.94x = 2,271,803,274.32
  5. Step 5: Solve for x
    x = 2,271,803,274.32/31,773.94
  6. Step 6: Final answer
    x = 71,498.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.