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Finding the Third Proportional to 33,114 and 70,962.75

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Solution

The third proportional to 33,114 and 70,962.75 is: 152,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114 : 70,962.75 = 70,962.75 : x
  2. Step 2: Convert to fraction form
    33,114/70,962.75 = 70,962.75/x
  3. Step 3: Cross multiply
    33,114x = 70,962.75 × 70,962.75
  4. Step 4: Simplify right side
    33,114x = 5,035,711,887.56
  5. Step 5: Solve for x
    x = 5,035,711,887.56/33,114
  6. Step 6: Final answer
    x = 152,071.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.