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Finding the Third Proportional to 12,064.50 and 16,989.38

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Solution

The third proportional to 12,064.50 and 16,989.38 is: 23,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.50 : 16,989.38 = 16,989.38 : x
  2. Step 2: Convert to fraction form
    12,064.50/16,989.38 = 16,989.38/x
  3. Step 3: Cross multiply
    12,064.50x = 16,989.38 × 16,989.38
  4. Step 4: Simplify right side
    12,064.50x = 288,638,862.89
  5. Step 5: Solve for x
    x = 288,638,862.89/12,064.50
  6. Step 6: Final answer
    x = 23,924.64

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.