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Finding the Third Proportional to 32,053.31 and 69,750.75

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Solution

The third proportional to 32,053.31 and 69,750.75 is: 151,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.31 : 69,750.75 = 69,750.75 : x
  2. Step 2: Convert to fraction form
    32,053.31/69,750.75 = 69,750.75/x
  3. Step 3: Cross multiply
    32,053.31x = 69,750.75 × 69,750.75
  4. Step 4: Simplify right side
    32,053.31x = 4,865,167,125.56
  5. Step 5: Solve for x
    x = 4,865,167,125.56/32,053.31
  6. Step 6: Final answer
    x = 151,783.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.