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Finding the Third Proportional to 859.75 and 954.25

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Solution

The third proportional to 859.75 and 954.25 is: 1,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.75 : 954.25 = 954.25 : x
  2. Step 2: Convert to fraction form
    859.75/954.25 = 954.25/x
  3. Step 3: Cross multiply
    859.75x = 954.25 × 954.25
  4. Step 4: Simplify right side
    859.75x = 910,593.06
  5. Step 5: Solve for x
    x = 910,593.06/859.75
  6. Step 6: Final answer
    x = 1,059.14

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.