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Finding the Third Proportional to 1,755.38 and 3,899.63

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Solution

The third proportional to 1,755.38 and 3,899.63 is: 8,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.38 : 3,899.63 = 3,899.63 : x
  2. Step 2: Convert to fraction form
    1,755.38/3,899.63 = 3,899.63/x
  3. Step 3: Cross multiply
    1,755.38x = 3,899.63 × 3,899.63
  4. Step 4: Simplify right side
    1,755.38x = 15,207,075.14
  5. Step 5: Solve for x
    x = 15,207,075.14/1,755.38
  6. Step 6: Final answer
    x = 8,663.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.