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Finding the Third Proportional to 29,806.50 and 44,197

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Solution

The third proportional to 29,806.50 and 44,197 is: 65,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806.50 : 44,197 = 44,197 : x
  2. Step 2: Convert to fraction form
    29,806.50/44,197 = 44,197/x
  3. Step 3: Cross multiply
    29,806.50x = 44,197 × 44,197
  4. Step 4: Simplify right side
    29,806.50x = 1,953,374,809
  5. Step 5: Solve for x
    x = 1,953,374,809/29,806.50
  6. Step 6: Final answer
    x = 65,535.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.