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Finding the Third Proportional to 33,308 and 72,052

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Solution

The third proportional to 33,308 and 72,052 is: 155,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,308 : 72,052 = 72,052 : x
  2. Step 2: Convert to fraction form
    33,308/72,052 = 72,052/x
  3. Step 3: Cross multiply
    33,308x = 72,052 × 72,052
  4. Step 4: Simplify right side
    33,308x = 5,191,490,704
  5. Step 5: Solve for x
    x = 5,191,490,704/33,308
  6. Step 6: Final answer
    x = 155,863.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.