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Finding the Third Proportional to 1,897.73 and 4,169.11

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Solution

The third proportional to 1,897.73 and 4,169.11 is: 9,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.73 : 4,169.11 = 4,169.11 : x
  2. Step 2: Convert to fraction form
    1,897.73/4,169.11 = 4,169.11/x
  3. Step 3: Cross multiply
    1,897.73x = 4,169.11 × 4,169.11
  4. Step 4: Simplify right side
    1,897.73x = 17,381,472.98
  5. Step 5: Solve for x
    x = 17,381,472.98/1,897.73
  6. Step 6: Final answer
    x = 9,159.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.