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Finding the Third Proportional to 881.38 and 1,914.63

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Solution

The third proportional to 881.38 and 1,914.63 is: 4,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.38 : 1,914.63 = 1,914.63 : x
  2. Step 2: Convert to fraction form
    881.38/1,914.63 = 1,914.63/x
  3. Step 3: Cross multiply
    881.38x = 1,914.63 × 1,914.63
  4. Step 4: Simplify right side
    881.38x = 3,665,788.89
  5. Step 5: Solve for x
    x = 3,665,788.89/881.38
  6. Step 6: Final answer
    x = 4,159.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.