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Finding the Third Proportional to 21,767.48 and 47,686.85

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Solution

The third proportional to 21,767.48 and 47,686.85 is: 104,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767.48 : 47,686.85 = 47,686.85 : x
  2. Step 2: Convert to fraction form
    21,767.48/47,686.85 = 47,686.85/x
  3. Step 3: Cross multiply
    21,767.48x = 47,686.85 × 47,686.85
  4. Step 4: Simplify right side
    21,767.48x = 2,274,035,811.94
  5. Step 5: Solve for x
    x = 2,274,035,811.94/21,767.48
  6. Step 6: Final answer
    x = 104,469.39

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