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Finding the Third Proportional to 32,204.25 and 69,170.63

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Solution

The third proportional to 32,204.25 and 69,170.63 is: 148,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.25 : 69,170.63 = 69,170.63 : x
  2. Step 2: Convert to fraction form
    32,204.25/69,170.63 = 69,170.63/x
  3. Step 3: Cross multiply
    32,204.25x = 69,170.63 × 69,170.63
  4. Step 4: Simplify right side
    32,204.25x = 4,784,575,362.89
  5. Step 5: Solve for x
    x = 4,784,575,362.89/32,204.25
  6. Step 6: Final answer
    x = 148,569.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.