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Finding the Third Proportional to 20,838.50 and 44,410.50

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Solution

The third proportional to 20,838.50 and 44,410.50 is: 94,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.50 : 44,410.50 = 44,410.50 : x
  2. Step 2: Convert to fraction form
    20,838.50/44,410.50 = 44,410.50/x
  3. Step 3: Cross multiply
    20,838.50x = 44,410.50 × 44,410.50
  4. Step 4: Simplify right side
    20,838.50x = 1,972,292,510.25
  5. Step 5: Solve for x
    x = 1,972,292,510.25/20,838.50
  6. Step 6: Final answer
    x = 94,646.57

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Why These Related Problems?

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