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Finding the Third Proportional to 1,897.88 and 3,947.63

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Solution

The third proportional to 1,897.88 and 3,947.63 is: 8,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.88 : 3,947.63 = 3,947.63 : x
  2. Step 2: Convert to fraction form
    1,897.88/3,947.63 = 3,947.63/x
  3. Step 3: Cross multiply
    1,897.88x = 3,947.63 × 3,947.63
  4. Step 4: Simplify right side
    1,897.88x = 15,583,743.14
  5. Step 5: Solve for x
    x = 15,583,743.14/1,897.88
  6. Step 6: Final answer
    x = 8,211.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.