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Finding the Third Proportional to 5,118.19 and 8,148.09

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Solution

The third proportional to 5,118.19 and 8,148.09 is: 12,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.19 : 8,148.09 = 8,148.09 : x
  2. Step 2: Convert to fraction form
    5,118.19/8,148.09 = 8,148.09/x
  3. Step 3: Cross multiply
    5,118.19x = 8,148.09 × 8,148.09
  4. Step 4: Simplify right side
    5,118.19x = 66,391,431.76
  5. Step 5: Solve for x
    x = 66,391,431.76/5,118.19
  6. Step 6: Final answer
    x = 12,971.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.