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Finding the Third Proportional to 1,202.06 and 1,841.63

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Solution

The third proportional to 1,202.06 and 1,841.63 is: 2,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.06 : 1,841.63 = 1,841.63 : x
  2. Step 2: Convert to fraction form
    1,202.06/1,841.63 = 1,841.63/x
  3. Step 3: Cross multiply
    1,202.06x = 1,841.63 × 1,841.63
  4. Step 4: Simplify right side
    1,202.06x = 3,391,582.64
  5. Step 5: Solve for x
    x = 3,391,582.64/1,202.06
  6. Step 6: Final answer
    x = 2,821.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.