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Finding the Third Proportional to 1,743.75 and 4,244.63

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Solution

The third proportional to 1,743.75 and 4,244.63 is: 10,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.75 : 4,244.63 = 4,244.63 : x
  2. Step 2: Convert to fraction form
    1,743.75/4,244.63 = 4,244.63/x
  3. Step 3: Cross multiply
    1,743.75x = 4,244.63 × 4,244.63
  4. Step 4: Simplify right side
    1,743.75x = 18,016,841.39
  5. Step 5: Solve for x
    x = 18,016,841.39/1,743.75
  6. Step 6: Final answer
    x = 10,332.24

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.