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Finding the Third Proportional to 19,236.50 and 29,111

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Solution

The third proportional to 19,236.50 and 29,111 is: 44,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,236.50 : 29,111 = 29,111 : x
  2. Step 2: Convert to fraction form
    19,236.50/29,111 = 29,111/x
  3. Step 3: Cross multiply
    19,236.50x = 29,111 × 29,111
  4. Step 4: Simplify right side
    19,236.50x = 847,450,321
  5. Step 5: Solve for x
    x = 847,450,321/19,236.50
  6. Step 6: Final answer
    x = 44,054.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.