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Finding the Third Proportional to 10,925.63 and 16,382.44

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Solution

The third proportional to 10,925.63 and 16,382.44 is: 24,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.63 : 16,382.44 = 16,382.44 : x
  2. Step 2: Convert to fraction form
    10,925.63/16,382.44 = 16,382.44/x
  3. Step 3: Cross multiply
    10,925.63x = 16,382.44 × 16,382.44
  4. Step 4: Simplify right side
    10,925.63x = 268,384,258.44
  5. Step 5: Solve for x
    x = 268,384,258.44/10,925.63
  6. Step 6: Final answer
    x = 24,564.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.