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Finding the Third Proportional to 12,440.25 and 16,455.38

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Solution

The third proportional to 12,440.25 and 16,455.38 is: 21,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440.25 : 16,455.38 = 16,455.38 : x
  2. Step 2: Convert to fraction form
    12,440.25/16,455.38 = 16,455.38/x
  3. Step 3: Cross multiply
    12,440.25x = 16,455.38 × 16,455.38
  4. Step 4: Simplify right side
    12,440.25x = 270,779,366.39
  5. Step 5: Solve for x
    x = 270,779,366.39/12,440.25
  6. Step 6: Final answer
    x = 21,766.39

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.