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Finding the Third Proportional to 1,743.19 and 3,830.63

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Solution

The third proportional to 1,743.19 and 3,830.63 is: 8,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.19 : 3,830.63 = 3,830.63 : x
  2. Step 2: Convert to fraction form
    1,743.19/3,830.63 = 3,830.63/x
  3. Step 3: Cross multiply
    1,743.19x = 3,830.63 × 3,830.63
  4. Step 4: Simplify right side
    1,743.19x = 14,673,687.89
  5. Step 5: Solve for x
    x = 14,673,687.89/1,743.19
  6. Step 6: Final answer
    x = 8,417.73

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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.