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Finding the Third Proportional to 7,769.75 and 12,052.88

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Solution

The third proportional to 7,769.75 and 12,052.88 is: 18,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.75 : 12,052.88 = 12,052.88 : x
  2. Step 2: Convert to fraction form
    7,769.75/12,052.88 = 12,052.88/x
  3. Step 3: Cross multiply
    7,769.75x = 12,052.88 × 12,052.88
  4. Step 4: Simplify right side
    7,769.75x = 145,271,795.77
  5. Step 5: Solve for x
    x = 145,271,795.77/7,769.75
  6. Step 6: Final answer
    x = 18,697.10

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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.