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Finding the Third Proportional to 896.38 and 1,364.13

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Solution

The third proportional to 896.38 and 1,364.13 is: 2,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.38 : 1,364.13 = 1,364.13 : x
  2. Step 2: Convert to fraction form
    896.38/1,364.13 = 1,364.13/x
  3. Step 3: Cross multiply
    896.38x = 1,364.13 × 1,364.13
  4. Step 4: Simplify right side
    896.38x = 1,860,837.02
  5. Step 5: Solve for x
    x = 1,860,837.02/896.38
  6. Step 6: Final answer
    x = 2,075.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.