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Finding the Third Proportional to 32,351.63 and 69,806.25

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Solution

The third proportional to 32,351.63 and 69,806.25 is: 150,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,351.63 : 69,806.25 = 69,806.25 : x
  2. Step 2: Convert to fraction form
    32,351.63/69,806.25 = 69,806.25/x
  3. Step 3: Cross multiply
    32,351.63x = 69,806.25 × 69,806.25
  4. Step 4: Simplify right side
    32,351.63x = 4,872,912,539.06
  5. Step 5: Solve for x
    x = 4,872,912,539.06/32,351.63
  6. Step 6: Final answer
    x = 150,623.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.