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Finding the Third Proportional to 21,574.50 and 44,193.75

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Solution

The third proportional to 21,574.50 and 44,193.75 is: 90,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.50 : 44,193.75 = 44,193.75 : x
  2. Step 2: Convert to fraction form
    21,574.50/44,193.75 = 44,193.75/x
  3. Step 3: Cross multiply
    21,574.50x = 44,193.75 × 44,193.75
  4. Step 4: Simplify right side
    21,574.50x = 1,953,087,539.06
  5. Step 5: Solve for x
    x = 1,953,087,539.06/21,574.50
  6. Step 6: Final answer
    x = 90,527.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.