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Finding the Third Proportional to 4,802 and 7,646

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Solution

The third proportional to 4,802 and 7,646 is: 12,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802 : 7,646 = 7,646 : x
  2. Step 2: Convert to fraction form
    4,802/7,646 = 7,646/x
  3. Step 3: Cross multiply
    4,802x = 7,646 × 7,646
  4. Step 4: Simplify right side
    4,802x = 58,461,316
  5. Step 5: Solve for x
    x = 58,461,316/4,802
  6. Step 6: Final answer
    x = 12,174.37

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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.