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Finding the Third Proportional to 9,398 and 20,415.50

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Solution

The third proportional to 9,398 and 20,415.50 is: 44,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398 : 20,415.50 = 20,415.50 : x
  2. Step 2: Convert to fraction form
    9,398/20,415.50 = 20,415.50/x
  3. Step 3: Cross multiply
    9,398x = 20,415.50 × 20,415.50
  4. Step 4: Simplify right side
    9,398x = 416,792,640.25
  5. Step 5: Solve for x
    x = 416,792,640.25/9,398
  6. Step 6: Final answer
    x = 44,349.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.