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Finding the Third Proportional to 32,110.50 and 69,702

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Solution

The third proportional to 32,110.50 and 69,702 is: 151,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,110.50 : 69,702 = 69,702 : x
  2. Step 2: Convert to fraction form
    32,110.50/69,702 = 69,702/x
  3. Step 3: Cross multiply
    32,110.50x = 69,702 × 69,702
  4. Step 4: Simplify right side
    32,110.50x = 4,858,368,804
  5. Step 5: Solve for x
    x = 4,858,368,804/32,110.50
  6. Step 6: Final answer
    x = 151,301.56

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Why These Related Problems?

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