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Finding the Third Proportional to 859.99 and 948.27

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Solution

The third proportional to 859.99 and 948.27 is: 1,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.99 : 948.27 = 948.27 : x
  2. Step 2: Convert to fraction form
    859.99/948.27 = 948.27/x
  3. Step 3: Cross multiply
    859.99x = 948.27 × 948.27
  4. Step 4: Simplify right side
    859.99x = 899,215.10
  5. Step 5: Solve for x
    x = 899,215.10/859.99
  6. Step 6: Final answer
    x = 1,045.61

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.