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Finding the Third Proportional to 32,818.50 and 49,217.63

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Solution

The third proportional to 32,818.50 and 49,217.63 is: 73,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,818.50 : 49,217.63 = 49,217.63 : x
  2. Step 2: Convert to fraction form
    32,818.50/49,217.63 = 49,217.63/x
  3. Step 3: Cross multiply
    32,818.50x = 49,217.63 × 49,217.63
  4. Step 4: Simplify right side
    32,818.50x = 2,422,374,610.64
  5. Step 5: Solve for x
    x = 2,422,374,610.64/32,818.50
  6. Step 6: Final answer
    x = 73,811.25

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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.