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Finding the Third Proportional to 32,266.69 and 69,204.16

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Solution

The third proportional to 32,266.69 and 69,204.16 is: 148,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,266.69 : 69,204.16 = 69,204.16 : x
  2. Step 2: Convert to fraction form
    32,266.69/69,204.16 = 69,204.16/x
  3. Step 3: Cross multiply
    32,266.69x = 69,204.16 × 69,204.16
  4. Step 4: Simplify right side
    32,266.69x = 4,789,216,323.59
  5. Step 5: Solve for x
    x = 4,789,216,323.59/32,266.69
  6. Step 6: Final answer
    x = 148,426.03

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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.