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Finding the Third Proportional to 8,735 and 10,823

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Solution

The third proportional to 8,735 and 10,823 is: 13,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735 : 10,823 = 10,823 : x
  2. Step 2: Convert to fraction form
    8,735/10,823 = 10,823/x
  3. Step 3: Cross multiply
    8,735x = 10,823 × 10,823
  4. Step 4: Simplify right side
    8,735x = 117,137,329
  5. Step 5: Solve for x
    x = 117,137,329/8,735
  6. Step 6: Final answer
    x = 13,410.11

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.