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Finding the Third Proportional to 32,810 and 69,916

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Solution

The third proportional to 32,810 and 69,916 is: 148,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810 : 69,916 = 69,916 : x
  2. Step 2: Convert to fraction form
    32,810/69,916 = 69,916/x
  3. Step 3: Cross multiply
    32,810x = 69,916 × 69,916
  4. Step 4: Simplify right side
    32,810x = 4,888,247,056
  5. Step 5: Solve for x
    x = 4,888,247,056/32,810
  6. Step 6: Final answer
    x = 148,986.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.