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Finding the Third Proportional to 23,334.75 and 32,869.13

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Solution

The third proportional to 23,334.75 and 32,869.13 is: 46,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,334.75 : 32,869.13 = 32,869.13 : x
  2. Step 2: Convert to fraction form
    23,334.75/32,869.13 = 32,869.13/x
  3. Step 3: Cross multiply
    23,334.75x = 32,869.13 × 32,869.13
  4. Step 4: Simplify right side
    23,334.75x = 1,080,379,378.27
  5. Step 5: Solve for x
    x = 1,080,379,378.27/23,334.75
  6. Step 6: Final answer
    x = 46,299.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.