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Finding the Third Proportional to 20,706.26 and 32,840.48

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Solution

The third proportional to 20,706.26 and 32,840.48 is: 52,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.26 : 32,840.48 = 32,840.48 : x
  2. Step 2: Convert to fraction form
    20,706.26/32,840.48 = 32,840.48/x
  3. Step 3: Cross multiply
    20,706.26x = 32,840.48 × 32,840.48
  4. Step 4: Simplify right side
    20,706.26x = 1,078,496,932.92
  5. Step 5: Solve for x
    x = 1,078,496,932.92/20,706.26
  6. Step 6: Final answer
    x = 52,085.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.