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Finding the Third Proportional to 23,829 and 51,582

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Solution

The third proportional to 23,829 and 51,582 is: 111,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829 : 51,582 = 51,582 : x
  2. Step 2: Convert to fraction form
    23,829/51,582 = 51,582/x
  3. Step 3: Cross multiply
    23,829x = 51,582 × 51,582
  4. Step 4: Simplify right side
    23,829x = 2,660,702,724
  5. Step 5: Solve for x
    x = 2,660,702,724/23,829
  6. Step 6: Final answer
    x = 111,658.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.