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Finding the Third Proportional to 33,526.41 and 73,196.16

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Solution

The third proportional to 33,526.41 and 73,196.16 is: 159,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,526.41 : 73,196.16 = 73,196.16 : x
  2. Step 2: Convert to fraction form
    33,526.41/73,196.16 = 73,196.16/x
  3. Step 3: Cross multiply
    33,526.41x = 73,196.16 × 73,196.16
  4. Step 4: Simplify right side
    33,526.41x = 5,357,677,289.77
  5. Step 5: Solve for x
    x = 5,357,677,289.77/33,526.41
  6. Step 6: Final answer
    x = 159,804.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.