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Finding the Third Proportional to 30,335 and 46,799

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Solution

The third proportional to 30,335 and 46,799 is: 72,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,335 : 46,799 = 46,799 : x
  2. Step 2: Convert to fraction form
    30,335/46,799 = 46,799/x
  3. Step 3: Cross multiply
    30,335x = 46,799 × 46,799
  4. Step 4: Simplify right side
    30,335x = 2,190,146,401
  5. Step 5: Solve for x
    x = 2,190,146,401/30,335
  6. Step 6: Final answer
    x = 72,198.66

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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.