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Finding the Third Proportional to 3,680.16 and 4,897.41

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Solution

The third proportional to 3,680.16 and 4,897.41 is: 6,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.16 : 4,897.41 = 4,897.41 : x
  2. Step 2: Convert to fraction form
    3,680.16/4,897.41 = 4,897.41/x
  3. Step 3: Cross multiply
    3,680.16x = 4,897.41 × 4,897.41
  4. Step 4: Simplify right side
    3,680.16x = 23,984,587.98
  5. Step 5: Solve for x
    x = 23,984,587.98/3,680.16
  6. Step 6: Final answer
    x = 6,517.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.