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Finding the Third Proportional to 6,607.83 and 14,466.09

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Solution

The third proportional to 6,607.83 and 14,466.09 is: 31,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,607.83 : 14,466.09 = 14,466.09 : x
  2. Step 2: Convert to fraction form
    6,607.83/14,466.09 = 14,466.09/x
  3. Step 3: Cross multiply
    6,607.83x = 14,466.09 × 14,466.09
  4. Step 4: Simplify right side
    6,607.83x = 209,267,868.38
  5. Step 5: Solve for x
    x = 209,267,868.38/6,607.83
  6. Step 6: Final answer
    x = 31,669.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.