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Finding the Third Proportional to 6,709.08 and 16,436.67

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Solution

The third proportional to 6,709.08 and 16,436.67 is: 40,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.08 : 16,436.67 = 16,436.67 : x
  2. Step 2: Convert to fraction form
    6,709.08/16,436.67 = 16,436.67/x
  3. Step 3: Cross multiply
    6,709.08x = 16,436.67 × 16,436.67
  4. Step 4: Simplify right side
    6,709.08x = 270,164,182.33
  5. Step 5: Solve for x
    x = 270,164,182.33/6,709.08
  6. Step 6: Final answer
    x = 40,268.45

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.