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Finding the Third Proportional to 6,519.75 and 14,078.63

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Solution

The third proportional to 6,519.75 and 14,078.63 is: 30,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.75 : 14,078.63 = 14,078.63 : x
  2. Step 2: Convert to fraction form
    6,519.75/14,078.63 = 14,078.63/x
  3. Step 3: Cross multiply
    6,519.75x = 14,078.63 × 14,078.63
  4. Step 4: Simplify right side
    6,519.75x = 198,207,681.89
  5. Step 5: Solve for x
    x = 198,207,681.89/6,519.75
  6. Step 6: Final answer
    x = 30,401.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.