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Finding the Third Proportional to 9,064 and 19,909

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Solution

The third proportional to 9,064 and 19,909 is: 43,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064 : 19,909 = 19,909 : x
  2. Step 2: Convert to fraction form
    9,064/19,909 = 19,909/x
  3. Step 3: Cross multiply
    9,064x = 19,909 × 19,909
  4. Step 4: Simplify right side
    9,064x = 396,368,281
  5. Step 5: Solve for x
    x = 396,368,281/9,064
  6. Step 6: Final answer
    x = 43,729.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.