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Finding the Third Proportional to 32,094.21 and 69,262.91

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Solution

The third proportional to 32,094.21 and 69,262.91 is: 149,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.21 : 69,262.91 = 69,262.91 : x
  2. Step 2: Convert to fraction form
    32,094.21/69,262.91 = 69,262.91/x
  3. Step 3: Cross multiply
    32,094.21x = 69,262.91 × 69,262.91
  4. Step 4: Simplify right side
    32,094.21x = 4,797,350,723.31
  5. Step 5: Solve for x
    x = 4,797,350,723.31/32,094.21
  6. Step 6: Final answer
    x = 149,477.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.