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Finding the Third Proportional to 6,789 and 16,352.25

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Solution

The third proportional to 6,789 and 16,352.25 is: 39,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789 : 16,352.25 = 16,352.25 : x
  2. Step 2: Convert to fraction form
    6,789/16,352.25 = 16,352.25/x
  3. Step 3: Cross multiply
    6,789x = 16,352.25 × 16,352.25
  4. Step 4: Simplify right side
    6,789x = 267,396,080.06
  5. Step 5: Solve for x
    x = 267,396,080.06/6,789
  6. Step 6: Final answer
    x = 39,386.67

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.