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Finding the Third Proportional to 31,308 and 47,735

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Solution

The third proportional to 31,308 and 47,735 is: 72,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308 : 47,735 = 47,735 : x
  2. Step 2: Convert to fraction form
    31,308/47,735 = 47,735/x
  3. Step 3: Cross multiply
    31,308x = 47,735 × 47,735
  4. Step 4: Simplify right side
    31,308x = 2,278,630,225
  5. Step 5: Solve for x
    x = 2,278,630,225/31,308
  6. Step 6: Final answer
    x = 72,781.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.