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Finding the Third Proportional to 13,645.75 and 21,698.94

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Solution

The third proportional to 13,645.75 and 21,698.94 is: 34,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.75 : 21,698.94 = 21,698.94 : x
  2. Step 2: Convert to fraction form
    13,645.75/21,698.94 = 21,698.94/x
  3. Step 3: Cross multiply
    13,645.75x = 21,698.94 × 21,698.94
  4. Step 4: Simplify right side
    13,645.75x = 470,843,888.63
  5. Step 5: Solve for x
    x = 470,843,888.63/13,645.75
  6. Step 6: Final answer
    x = 34,504.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.