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Finding the Third Proportional to 32,986.62 and 70,644.02

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Solution

The third proportional to 32,986.62 and 70,644.02 is: 151,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,986.62 : 70,644.02 = 70,644.02 : x
  2. Step 2: Convert to fraction form
    32,986.62/70,644.02 = 70,644.02/x
  3. Step 3: Cross multiply
    32,986.62x = 70,644.02 × 70,644.02
  4. Step 4: Simplify right side
    32,986.62x = 4,990,578,047.44
  5. Step 5: Solve for x
    x = 4,990,578,047.44/32,986.62
  6. Step 6: Final answer
    x = 151,290.99

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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.