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Finding the Third Proportional to 9,763 and 23,037

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Solution

The third proportional to 9,763 and 23,037 is: 54,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763 : 23,037 = 23,037 : x
  2. Step 2: Convert to fraction form
    9,763/23,037 = 23,037/x
  3. Step 3: Cross multiply
    9,763x = 23,037 × 23,037
  4. Step 4: Simplify right side
    9,763x = 530,703,369
  5. Step 5: Solve for x
    x = 530,703,369/9,763
  6. Step 6: Final answer
    x = 54,358.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.