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Finding the Third Proportional to 12,005.72 and 14,466.09

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Solution

The third proportional to 12,005.72 and 14,466.09 is: 17,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.72 : 14,466.09 = 14,466.09 : x
  2. Step 2: Convert to fraction form
    12,005.72/14,466.09 = 14,466.09/x
  3. Step 3: Cross multiply
    12,005.72x = 14,466.09 × 14,466.09
  4. Step 4: Simplify right side
    12,005.72x = 209,267,868.38
  5. Step 5: Solve for x
    x = 209,267,868.38/12,005.72
  6. Step 6: Final answer
    x = 17,430.68

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.