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Finding the Third Proportional to 14,365.50 and 19,172.25

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Solution

The third proportional to 14,365.50 and 19,172.25 is: 25,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.50 : 19,172.25 = 19,172.25 : x
  2. Step 2: Convert to fraction form
    14,365.50/19,172.25 = 19,172.25/x
  3. Step 3: Cross multiply
    14,365.50x = 19,172.25 × 19,172.25
  4. Step 4: Simplify right side
    14,365.50x = 367,575,170.06
  5. Step 5: Solve for x
    x = 367,575,170.06/14,365.50
  6. Step 6: Final answer
    x = 25,587.36

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.