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Finding the Third Proportional to 2,919.80 and 7,700.06

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Solution

The third proportional to 2,919.80 and 7,700.06 is: 20,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.80 : 7,700.06 = 7,700.06 : x
  2. Step 2: Convert to fraction form
    2,919.80/7,700.06 = 7,700.06/x
  3. Step 3: Cross multiply
    2,919.80x = 7,700.06 × 7,700.06
  4. Step 4: Simplify right side
    2,919.80x = 59,290,962.50
  5. Step 5: Solve for x
    x = 59,290,962.50/2,919.80
  6. Step 6: Final answer
    x = 20,306.54

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These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.