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Finding the Third Proportional to 881.16 and 1,914.14

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Solution

The third proportional to 881.16 and 1,914.14 is: 4,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.16 : 1,914.14 = 1,914.14 : x
  2. Step 2: Convert to fraction form
    881.16/1,914.14 = 1,914.14/x
  3. Step 3: Cross multiply
    881.16x = 1,914.14 × 1,914.14
  4. Step 4: Simplify right side
    881.16x = 3,663,934.33
  5. Step 5: Solve for x
    x = 3,663,934.33/881.16
  6. Step 6: Final answer
    x = 4,158.10

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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.