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Finding the Third Proportional to 20,965.50 and 44,118

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Solution

The third proportional to 20,965.50 and 44,118 is: 92,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.50 : 44,118 = 44,118 : x
  2. Step 2: Convert to fraction form
    20,965.50/44,118 = 44,118/x
  3. Step 3: Cross multiply
    20,965.50x = 44,118 × 44,118
  4. Step 4: Simplify right side
    20,965.50x = 1,946,397,924
  5. Step 5: Solve for x
    x = 1,946,397,924/20,965.50
  6. Step 6: Final answer
    x = 92,838.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.