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Finding the Third Proportional to 30,340 and 46,774

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Solution

The third proportional to 30,340 and 46,774 is: 72,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,340 : 46,774 = 46,774 : x
  2. Step 2: Convert to fraction form
    30,340/46,774 = 46,774/x
  3. Step 3: Cross multiply
    30,340x = 46,774 × 46,774
  4. Step 4: Simplify right side
    30,340x = 2,187,807,076
  5. Step 5: Solve for x
    x = 2,187,807,076/30,340
  6. Step 6: Final answer
    x = 72,109.66

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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.