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Finding the Third Proportional to 30,274 and 46,819

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Solution

The third proportional to 30,274 and 46,819 is: 72,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274 : 46,819 = 46,819 : x
  2. Step 2: Convert to fraction form
    30,274/46,819 = 46,819/x
  3. Step 3: Cross multiply
    30,274x = 46,819 × 46,819
  4. Step 4: Simplify right side
    30,274x = 2,192,018,761
  5. Step 5: Solve for x
    x = 2,192,018,761/30,274
  6. Step 6: Final answer
    x = 72,405.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.