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Finding the Third Proportional to 12,233.53 and 18,430.03

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Solution

The third proportional to 12,233.53 and 18,430.03 is: 27,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.53 : 18,430.03 = 18,430.03 : x
  2. Step 2: Convert to fraction form
    12,233.53/18,430.03 = 18,430.03/x
  3. Step 3: Cross multiply
    12,233.53x = 18,430.03 × 18,430.03
  4. Step 4: Simplify right side
    12,233.53x = 339,666,051.88
  5. Step 5: Solve for x
    x = 339,666,051.88/12,233.53
  6. Step 6: Final answer
    x = 27,765.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.