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Finding the Third Proportional to 1,806.19 and 3,755.63

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Solution

The third proportional to 1,806.19 and 3,755.63 is: 7,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.19 : 3,755.63 = 3,755.63 : x
  2. Step 2: Convert to fraction form
    1,806.19/3,755.63 = 3,755.63/x
  3. Step 3: Cross multiply
    1,806.19x = 3,755.63 × 3,755.63
  4. Step 4: Simplify right side
    1,806.19x = 14,104,719.14
  5. Step 5: Solve for x
    x = 14,104,719.14/1,806.19
  6. Step 6: Final answer
    x = 7,809.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.