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Finding the Third Proportional to 32,274.56 and 69,911.16

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Solution

The third proportional to 32,274.56 and 69,911.16 is: 151,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,274.56 : 69,911.16 = 69,911.16 : x
  2. Step 2: Convert to fraction form
    32,274.56/69,911.16 = 69,911.16/x
  3. Step 3: Cross multiply
    32,274.56x = 69,911.16 × 69,911.16
  4. Step 4: Simplify right side
    32,274.56x = 4,887,569,768.21
  5. Step 5: Solve for x
    x = 4,887,569,768.21/32,274.56
  6. Step 6: Final answer
    x = 151,437.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.