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Finding the Third Proportional to 30,010.50 and 46,625.63

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Solution

The third proportional to 30,010.50 and 46,625.63 is: 72,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010.50 : 46,625.63 = 46,625.63 : x
  2. Step 2: Convert to fraction form
    30,010.50/46,625.63 = 46,625.63/x
  3. Step 3: Cross multiply
    30,010.50x = 46,625.63 × 46,625.63
  4. Step 4: Simplify right side
    30,010.50x = 2,173,948,906.64
  5. Step 5: Solve for x
    x = 2,173,948,906.64/30,010.50
  6. Step 6: Final answer
    x = 72,439.61

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