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Finding the Third Proportional to 5,195.81 and 9,913.22

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Solution

The third proportional to 5,195.81 and 9,913.22 is: 18,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.81 : 9,913.22 = 9,913.22 : x
  2. Step 2: Convert to fraction form
    5,195.81/9,913.22 = 9,913.22/x
  3. Step 3: Cross multiply
    5,195.81x = 9,913.22 × 9,913.22
  4. Step 4: Simplify right side
    5,195.81x = 98,271,905.99
  5. Step 5: Solve for x
    x = 98,271,905.99/5,195.81
  6. Step 6: Final answer
    x = 18,913.67

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.