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Finding the Third Proportional to 964.83 and 1,071.14

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Solution

The third proportional to 964.83 and 1,071.14 is: 1,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.83 : 1,071.14 = 1,071.14 : x
  2. Step 2: Convert to fraction form
    964.83/1,071.14 = 1,071.14/x
  3. Step 3: Cross multiply
    964.83x = 1,071.14 × 1,071.14
  4. Step 4: Simplify right side
    964.83x = 1,147,342.24
  5. Step 5: Solve for x
    x = 1,147,342.24/964.83
  6. Step 6: Final answer
    x = 1,189.17

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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.