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Finding the Third Proportional to 917.16 and 1,982.81

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Solution

The third proportional to 917.16 and 1,982.81 is: 4,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.16 : 1,982.81 = 1,982.81 : x
  2. Step 2: Convert to fraction form
    917.16/1,982.81 = 1,982.81/x
  3. Step 3: Cross multiply
    917.16x = 1,982.81 × 1,982.81
  4. Step 4: Simplify right side
    917.16x = 3,931,545.41
  5. Step 5: Solve for x
    x = 3,931,545.41/917.16
  6. Step 6: Final answer
    x = 4,286.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.