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Finding the Third Proportional to 1,008.94 and 2,157.94

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Solution

The third proportional to 1,008.94 and 2,157.94 is: 4,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.94 : 2,157.94 = 2,157.94 : x
  2. Step 2: Convert to fraction form
    1,008.94/2,157.94 = 2,157.94/x
  3. Step 3: Cross multiply
    1,008.94x = 2,157.94 × 2,157.94
  4. Step 4: Simplify right side
    1,008.94x = 4,656,694.25
  5. Step 5: Solve for x
    x = 4,656,694.25/1,008.94
  6. Step 6: Final answer
    x = 4,615.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.