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Finding the Third Proportional to 20,068.50 and 43,943

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Solution

The third proportional to 20,068.50 and 43,943 is: 96,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,068.50 : 43,943 = 43,943 : x
  2. Step 2: Convert to fraction form
    20,068.50/43,943 = 43,943/x
  3. Step 3: Cross multiply
    20,068.50x = 43,943 × 43,943
  4. Step 4: Simplify right side
    20,068.50x = 1,930,987,249
  5. Step 5: Solve for x
    x = 1,930,987,249/20,068.50
  6. Step 6: Final answer
    x = 96,219.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.