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Finding the Third Proportional to 32,328 and 48,296.25

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Solution

The third proportional to 32,328 and 48,296.25 is: 72,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,328 : 48,296.25 = 48,296.25 : x
  2. Step 2: Convert to fraction form
    32,328/48,296.25 = 48,296.25/x
  3. Step 3: Cross multiply
    32,328x = 48,296.25 × 48,296.25
  4. Step 4: Simplify right side
    32,328x = 2,332,527,764.06
  5. Step 5: Solve for x
    x = 2,332,527,764.06/32,328
  6. Step 6: Final answer
    x = 72,151.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.