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Finding the Third Proportional to 6,404.97 and 14,070.98

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Solution

The third proportional to 6,404.97 and 14,070.98 is: 30,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.97 : 14,070.98 = 14,070.98 : x
  2. Step 2: Convert to fraction form
    6,404.97/14,070.98 = 14,070.98/x
  3. Step 3: Cross multiply
    6,404.97x = 14,070.98 × 14,070.98
  4. Step 4: Simplify right side
    6,404.97x = 197,992,518.83
  5. Step 5: Solve for x
    x = 197,992,518.83/6,404.97
  6. Step 6: Final answer
    x = 30,912.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.