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Finding the Third Proportional to 30,774 and 46,108.50

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Solution

The third proportional to 30,774 and 46,108.50 is: 69,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774 : 46,108.50 = 46,108.50 : x
  2. Step 2: Convert to fraction form
    30,774/46,108.50 = 46,108.50/x
  3. Step 3: Cross multiply
    30,774x = 46,108.50 × 46,108.50
  4. Step 4: Simplify right side
    30,774x = 2,125,993,772.25
  5. Step 5: Solve for x
    x = 2,125,993,772.25/30,774
  6. Step 6: Final answer
    x = 69,084.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.