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Finding the Third Proportional to 10,074.75 and 22,019.25

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Solution

The third proportional to 10,074.75 and 22,019.25 is: 48,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.75 : 22,019.25 = 22,019.25 : x
  2. Step 2: Convert to fraction form
    10,074.75/22,019.25 = 22,019.25/x
  3. Step 3: Cross multiply
    10,074.75x = 22,019.25 × 22,019.25
  4. Step 4: Simplify right side
    10,074.75x = 484,847,370.56
  5. Step 5: Solve for x
    x = 484,847,370.56/10,074.75
  6. Step 6: Final answer
    x = 48,125.00

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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.