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Finding the Third Proportional to 33,702 and 48,548.50

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Solution

The third proportional to 33,702 and 48,548.50 is: 69,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702 : 48,548.50 = 48,548.50 : x
  2. Step 2: Convert to fraction form
    33,702/48,548.50 = 48,548.50/x
  3. Step 3: Cross multiply
    33,702x = 48,548.50 × 48,548.50
  4. Step 4: Simplify right side
    33,702x = 2,356,956,852.25
  5. Step 5: Solve for x
    x = 2,356,956,852.25/33,702
  6. Step 6: Final answer
    x = 69,935.22

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.