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Finding the Third Proportional to 12,003.19 and 15,927.89

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Solution

The third proportional to 12,003.19 and 15,927.89 is: 21,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.19 : 15,927.89 = 15,927.89 : x
  2. Step 2: Convert to fraction form
    12,003.19/15,927.89 = 15,927.89/x
  3. Step 3: Cross multiply
    12,003.19x = 15,927.89 × 15,927.89
  4. Step 4: Simplify right side
    12,003.19x = 253,697,699.76
  5. Step 5: Solve for x
    x = 253,697,699.76/12,003.19
  6. Step 6: Final answer
    x = 21,135.86

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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.