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Finding the Third Proportional to 12,131.02 and 18,430.03

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Solution

The third proportional to 12,131.02 and 18,430.03 is: 27,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.02 : 18,430.03 = 18,430.03 : x
  2. Step 2: Convert to fraction form
    12,131.02/18,430.03 = 18,430.03/x
  3. Step 3: Cross multiply
    12,131.02x = 18,430.03 × 18,430.03
  4. Step 4: Simplify right side
    12,131.02x = 339,666,051.88
  5. Step 5: Solve for x
    x = 339,666,051.88/12,131.02
  6. Step 6: Final answer
    x = 27,999.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.