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Finding the Third Proportional to 21,191.50 and 45,197

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Solution

The third proportional to 21,191.50 and 45,197 is: 96,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.50 : 45,197 = 45,197 : x
  2. Step 2: Convert to fraction form
    21,191.50/45,197 = 45,197/x
  3. Step 3: Cross multiply
    21,191.50x = 45,197 × 45,197
  4. Step 4: Simplify right side
    21,191.50x = 2,042,768,809
  5. Step 5: Solve for x
    x = 2,042,768,809/21,191.50
  6. Step 6: Final answer
    x = 96,395.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.