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Finding the Third Proportional to 32,110 and 69,700

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Solution

The third proportional to 32,110 and 69,700 is: 151,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,110 : 69,700 = 69,700 : x
  2. Step 2: Convert to fraction form
    32,110/69,700 = 69,700/x
  3. Step 3: Cross multiply
    32,110x = 69,700 × 69,700
  4. Step 4: Simplify right side
    32,110x = 4,858,090,000
  5. Step 5: Solve for x
    x = 4,858,090,000/32,110
  6. Step 6: Final answer
    x = 151,295.24

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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.