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Finding the Third Proportional to 30,094 and 46,783

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Solution

The third proportional to 30,094 and 46,783 is: 72,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,094 : 46,783 = 46,783 : x
  2. Step 2: Convert to fraction form
    30,094/46,783 = 46,783/x
  3. Step 3: Cross multiply
    30,094x = 46,783 × 46,783
  4. Step 4: Simplify right side
    30,094x = 2,188,649,089
  5. Step 5: Solve for x
    x = 2,188,649,089/30,094
  6. Step 6: Final answer
    x = 72,727.09

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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.