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Finding the Third Proportional to 4,606 and 7,304

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Solution

The third proportional to 4,606 and 7,304 is: 11,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606 : 7,304 = 7,304 : x
  2. Step 2: Convert to fraction form
    4,606/7,304 = 7,304/x
  3. Step 3: Cross multiply
    4,606x = 7,304 × 7,304
  4. Step 4: Simplify right side
    4,606x = 53,348,416
  5. Step 5: Solve for x
    x = 53,348,416/4,606
  6. Step 6: Final answer
    x = 11,582.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.