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Finding the Third Proportional to 32,483.25 and 47,600.44

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Solution

The third proportional to 32,483.25 and 47,600.44 is: 69,752.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,483.25 : 47,600.44 = 47,600.44 : x
  2. Step 2: Convert to fraction form
    32,483.25/47,600.44 = 47,600.44/x
  3. Step 3: Cross multiply
    32,483.25x = 47,600.44 × 47,600.44
  4. Step 4: Simplify right side
    32,483.25x = 2,265,801,650.19
  5. Step 5: Solve for x
    x = 2,265,801,650.19/32,483.25
  6. Step 6: Final answer
    x = 69,752.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.