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Finding the Third Proportional to 9,469.13 and 17,920.13

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Solution

The third proportional to 9,469.13 and 17,920.13 is: 33,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.13 : 17,920.13 = 17,920.13 : x
  2. Step 2: Convert to fraction form
    9,469.13/17,920.13 = 17,920.13/x
  3. Step 3: Cross multiply
    9,469.13x = 17,920.13 × 17,920.13
  4. Step 4: Simplify right side
    9,469.13x = 321,130,880.02
  5. Step 5: Solve for x
    x = 321,130,880.02/9,469.13
  6. Step 6: Final answer
    x = 33,913.47

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.