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Finding the Third Proportional to 32,261.63 and 69,466.13

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Solution

The third proportional to 32,261.63 and 69,466.13 is: 149,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,261.63 : 69,466.13 = 69,466.13 : x
  2. Step 2: Convert to fraction form
    32,261.63/69,466.13 = 69,466.13/x
  3. Step 3: Cross multiply
    32,261.63x = 69,466.13 × 69,466.13
  4. Step 4: Simplify right side
    32,261.63x = 4,825,542,522.52
  5. Step 5: Solve for x
    x = 4,825,542,522.52/32,261.63
  6. Step 6: Final answer
    x = 149,575.31

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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.