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Finding the Third Proportional to 8,771.63 and 19,242.56

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Solution

The third proportional to 8,771.63 and 19,242.56 is: 42,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.63 : 19,242.56 = 19,242.56 : x
  2. Step 2: Convert to fraction form
    8,771.63/19,242.56 = 19,242.56/x
  3. Step 3: Cross multiply
    8,771.63x = 19,242.56 × 19,242.56
  4. Step 4: Simplify right side
    8,771.63x = 370,276,211.57
  5. Step 5: Solve for x
    x = 370,276,211.57/8,771.63
  6. Step 6: Final answer
    x = 42,212.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.