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Finding the Third Proportional to 30,436 and 46,762

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Solution

The third proportional to 30,436 and 46,762 is: 71,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,436 : 46,762 = 46,762 : x
  2. Step 2: Convert to fraction form
    30,436/46,762 = 46,762/x
  3. Step 3: Cross multiply
    30,436x = 46,762 × 46,762
  4. Step 4: Simplify right side
    30,436x = 2,186,684,644
  5. Step 5: Solve for x
    x = 2,186,684,644/30,436
  6. Step 6: Final answer
    x = 71,845.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.