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Finding the Third Proportional to 13,749.75 and 21,186.56

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Solution

The third proportional to 13,749.75 and 21,186.56 is: 32,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.75 : 21,186.56 = 21,186.56 : x
  2. Step 2: Convert to fraction form
    13,749.75/21,186.56 = 21,186.56/x
  3. Step 3: Cross multiply
    13,749.75x = 21,186.56 × 21,186.56
  4. Step 4: Simplify right side
    13,749.75x = 448,870,430.57
  5. Step 5: Solve for x
    x = 448,870,430.57/13,749.75
  6. Step 6: Final answer
    x = 32,645.72

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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.