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Finding the Third Proportional to 10,823.63 and 16,392.38

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Solution

The third proportional to 10,823.63 and 16,392.38 is: 24,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.63 : 16,392.38 = 16,392.38 : x
  2. Step 2: Convert to fraction form
    10,823.63/16,392.38 = 16,392.38/x
  3. Step 3: Cross multiply
    10,823.63x = 16,392.38 × 16,392.38
  4. Step 4: Simplify right side
    10,823.63x = 268,709,958.14
  5. Step 5: Solve for x
    x = 268,709,958.14/10,823.63
  6. Step 6: Final answer
    x = 24,826.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.