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Finding the Third Proportional to 32,896.13 and 69,528.38

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Solution

The third proportional to 32,896.13 and 69,528.38 is: 146,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.13 : 69,528.38 = 69,528.38 : x
  2. Step 2: Convert to fraction form
    32,896.13/69,528.38 = 69,528.38/x
  3. Step 3: Cross multiply
    32,896.13x = 69,528.38 × 69,528.38
  4. Step 4: Simplify right side
    32,896.13x = 4,834,194,930.14
  5. Step 5: Solve for x
    x = 4,834,194,930.14/32,896.13
  6. Step 6: Final answer
    x = 146,953.32

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.