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Finding the Third Proportional to 30,383 and 46,803

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Solution

The third proportional to 30,383 and 46,803 is: 72,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,383 : 46,803 = 46,803 : x
  2. Step 2: Convert to fraction form
    30,383/46,803 = 46,803/x
  3. Step 3: Cross multiply
    30,383x = 46,803 × 46,803
  4. Step 4: Simplify right side
    30,383x = 2,190,520,809
  5. Step 5: Solve for x
    x = 2,190,520,809/30,383
  6. Step 6: Final answer
    x = 72,096.92

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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.