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Finding the Third Proportional to 7,821.56 and 12,112.03

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Solution

The third proportional to 7,821.56 and 12,112.03 is: 18,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.56 : 12,112.03 = 12,112.03 : x
  2. Step 2: Convert to fraction form
    7,821.56/12,112.03 = 12,112.03/x
  3. Step 3: Cross multiply
    7,821.56x = 12,112.03 × 12,112.03
  4. Step 4: Simplify right side
    7,821.56x = 146,701,301.00
  5. Step 5: Solve for x
    x = 146,701,301.00/7,821.56
  6. Step 6: Final answer
    x = 18,756.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.