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Finding the Third Proportional to 20,295 and 48,534.75

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Solution

The third proportional to 20,295 and 48,534.75 is: 116,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295 : 48,534.75 = 48,534.75 : x
  2. Step 2: Convert to fraction form
    20,295/48,534.75 = 48,534.75/x
  3. Step 3: Cross multiply
    20,295x = 48,534.75 × 48,534.75
  4. Step 4: Simplify right side
    20,295x = 2,355,621,957.56
  5. Step 5: Solve for x
    x = 2,355,621,957.56/20,295
  6. Step 6: Final answer
    x = 116,069.08

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.