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Finding the Third Proportional to 4,638 and 10,312

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Solution

The third proportional to 4,638 and 10,312 is: 22,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638 : 10,312 = 10,312 : x
  2. Step 2: Convert to fraction form
    4,638/10,312 = 10,312/x
  3. Step 3: Cross multiply
    4,638x = 10,312 × 10,312
  4. Step 4: Simplify right side
    4,638x = 106,337,344
  5. Step 5: Solve for x
    x = 106,337,344/4,638
  6. Step 6: Final answer
    x = 22,927.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.