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Finding the Third Proportional to 10,630 and 23,406

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Solution

The third proportional to 10,630 and 23,406 is: 51,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630 : 23,406 = 23,406 : x
  2. Step 2: Convert to fraction form
    10,630/23,406 = 23,406/x
  3. Step 3: Cross multiply
    10,630x = 23,406 × 23,406
  4. Step 4: Simplify right side
    10,630x = 547,840,836
  5. Step 5: Solve for x
    x = 547,840,836/10,630
  6. Step 6: Final answer
    x = 51,537.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.