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Finding the Third Proportional to 4,806 and 10,304

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Solution

The third proportional to 4,806 and 10,304 is: 22,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806 : 10,304 = 10,304 : x
  2. Step 2: Convert to fraction form
    4,806/10,304 = 10,304/x
  3. Step 3: Cross multiply
    4,806x = 10,304 × 10,304
  4. Step 4: Simplify right side
    4,806x = 106,172,416
  5. Step 5: Solve for x
    x = 106,172,416/4,806
  6. Step 6: Final answer
    x = 22,091.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.