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Finding the Third Proportional to 38,328.03 and 83,806.52

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Solution

The third proportional to 38,328.03 and 83,806.52 is: 183,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,328.03 : 83,806.52 = 83,806.52 : x
  2. Step 2: Convert to fraction form
    38,328.03/83,806.52 = 83,806.52/x
  3. Step 3: Cross multiply
    38,328.03x = 83,806.52 × 83,806.52
  4. Step 4: Simplify right side
    38,328.03x = 7,023,533,370.68
  5. Step 5: Solve for x
    x = 7,023,533,370.68/38,328.03
  6. Step 6: Final answer
    x = 183,247.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.