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Finding the Third Proportional to 2,069.93 and 4,524.61

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Solution

The third proportional to 2,069.93 and 4,524.61 is: 9,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.93 : 4,524.61 = 4,524.61 : x
  2. Step 2: Convert to fraction form
    2,069.93/4,524.61 = 4,524.61/x
  3. Step 3: Cross multiply
    2,069.93x = 4,524.61 × 4,524.61
  4. Step 4: Simplify right side
    2,069.93x = 20,472,090.00
  5. Step 5: Solve for x
    x = 20,472,090.00/2,069.93
  6. Step 6: Final answer
    x = 9,890.23

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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.