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Finding the Third Proportional to 33,287.06 and 46,820.81

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Solution

The third proportional to 33,287.06 and 46,820.81 is: 65,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,287.06 : 46,820.81 = 46,820.81 : x
  2. Step 2: Convert to fraction form
    33,287.06/46,820.81 = 46,820.81/x
  3. Step 3: Cross multiply
    33,287.06x = 46,820.81 × 46,820.81
  4. Step 4: Simplify right side
    33,287.06x = 2,192,188,483.16
  5. Step 5: Solve for x
    x = 2,192,188,483.16/33,287.06
  6. Step 6: Final answer
    x = 65,857.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.