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Finding the Third Proportional to 6,315.47 and 13,676.34

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Solution

The third proportional to 6,315.47 and 13,676.34 is: 29,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.47 : 13,676.34 = 13,676.34 : x
  2. Step 2: Convert to fraction form
    6,315.47/13,676.34 = 13,676.34/x
  3. Step 3: Cross multiply
    6,315.47x = 13,676.34 × 13,676.34
  4. Step 4: Simplify right side
    6,315.47x = 187,042,378.37
  5. Step 5: Solve for x
    x = 187,042,378.37/6,315.47
  6. Step 6: Final answer
    x = 29,616.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.