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Finding the Third Proportional to 22,991.98 and 51,365.07

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Solution

The third proportional to 22,991.98 and 51,365.07 is: 114,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.98 : 51,365.07 = 51,365.07 : x
  2. Step 2: Convert to fraction form
    22,991.98/51,365.07 = 51,365.07/x
  3. Step 3: Cross multiply
    22,991.98x = 51,365.07 × 51,365.07
  4. Step 4: Simplify right side
    22,991.98x = 2,638,370,849.50
  5. Step 5: Solve for x
    x = 2,638,370,849.50/22,991.98
  6. Step 6: Final answer
    x = 114,751.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.