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Finding the Third Proportional to 8,865.70 and 19,076.77

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Solution

The third proportional to 8,865.70 and 19,076.77 is: 41,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,865.70 : 19,076.77 = 19,076.77 : x
  2. Step 2: Convert to fraction form
    8,865.70/19,076.77 = 19,076.77/x
  3. Step 3: Cross multiply
    8,865.70x = 19,076.77 × 19,076.77
  4. Step 4: Simplify right side
    8,865.70x = 363,922,986.71
  5. Step 5: Solve for x
    x = 363,922,986.71/8,865.70
  6. Step 6: Final answer
    x = 41,048.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.