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Finding the Third Proportional to 1,732.69 and 3,080.63

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Solution

The third proportional to 1,732.69 and 3,080.63 is: 5,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.69 : 3,080.63 = 3,080.63 : x
  2. Step 2: Convert to fraction form
    1,732.69/3,080.63 = 3,080.63/x
  3. Step 3: Cross multiply
    1,732.69x = 3,080.63 × 3,080.63
  4. Step 4: Simplify right side
    1,732.69x = 9,490,250.39
  5. Step 5: Solve for x
    x = 9,490,250.39/1,732.69
  6. Step 6: Final answer
    x = 5,477.19

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.