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Finding the Third Proportional to 6,246.84 and 13,302.84

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Solution

The third proportional to 6,246.84 and 13,302.84 is: 28,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.84 : 13,302.84 = 13,302.84 : x
  2. Step 2: Convert to fraction form
    6,246.84/13,302.84 = 13,302.84/x
  3. Step 3: Cross multiply
    6,246.84x = 13,302.84 × 13,302.84
  4. Step 4: Simplify right side
    6,246.84x = 176,965,651.84
  5. Step 5: Solve for x
    x = 176,965,651.84/6,246.84
  6. Step 6: Final answer
    x = 28,328.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.