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Finding the Third Proportional to 31,903.88 and 47,840.63

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Solution

The third proportional to 31,903.88 and 47,840.63 is: 71,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.88 : 47,840.63 = 47,840.63 : x
  2. Step 2: Convert to fraction form
    31,903.88/47,840.63 = 47,840.63/x
  3. Step 3: Cross multiply
    31,903.88x = 47,840.63 × 47,840.63
  4. Step 4: Simplify right side
    31,903.88x = 2,288,725,400.39
  5. Step 5: Solve for x
    x = 2,288,725,400.39/31,903.88
  6. Step 6: Final answer
    x = 71,738.16

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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.