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Finding the Third Proportional to 8,768.50 and 18,770.63

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Solution

The third proportional to 8,768.50 and 18,770.63 is: 40,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768.50 : 18,770.63 = 18,770.63 : x
  2. Step 2: Convert to fraction form
    8,768.50/18,770.63 = 18,770.63/x
  3. Step 3: Cross multiply
    8,768.50x = 18,770.63 × 18,770.63
  4. Step 4: Simplify right side
    8,768.50x = 352,336,362.89
  5. Step 5: Solve for x
    x = 352,336,362.89/8,768.50
  6. Step 6: Final answer
    x = 40,182.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.