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Finding the Third Proportional to 35,333.72 and 75,571.10

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Solution

The third proportional to 35,333.72 and 75,571.10 is: 161,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,333.72 : 75,571.10 = 75,571.10 : x
  2. Step 2: Convert to fraction form
    35,333.72/75,571.10 = 75,571.10/x
  3. Step 3: Cross multiply
    35,333.72x = 75,571.10 × 75,571.10
  4. Step 4: Simplify right side
    35,333.72x = 5,710,991,391.37
  5. Step 5: Solve for x
    x = 5,710,991,391.37/35,333.72
  6. Step 6: Final answer
    x = 161,630.07

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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.