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Finding the Third Proportional to 3,485.53 and 4,897.97

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Solution

The third proportional to 3,485.53 and 4,897.97 is: 6,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.53 : 4,897.97 = 4,897.97 : x
  2. Step 2: Convert to fraction form
    3,485.53/4,897.97 = 4,897.97/x
  3. Step 3: Cross multiply
    3,485.53x = 4,897.97 × 4,897.97
  4. Step 4: Simplify right side
    3,485.53x = 23,990,097.88
  5. Step 5: Solve for x
    x = 23,990,097.88/3,485.53
  6. Step 6: Final answer
    x = 6,882.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.