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Finding the Third Proportional to 32,352.93 and 69,203.74

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Solution

The third proportional to 32,352.93 and 69,203.74 is: 148,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,352.93 : 69,203.74 = 69,203.74 : x
  2. Step 2: Convert to fraction form
    32,352.93/69,203.74 = 69,203.74/x
  3. Step 3: Cross multiply
    32,352.93x = 69,203.74 × 69,203.74
  4. Step 4: Simplify right side
    32,352.93x = 4,789,157,932.75
  5. Step 5: Solve for x
    x = 4,789,157,932.75/32,352.93
  6. Step 6: Final answer
    x = 148,028.55

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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.