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Finding the Third Proportional to 2,919.80 and 4,561.95

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Solution

The third proportional to 2,919.80 and 4,561.95 is: 7,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.80 : 4,561.95 = 4,561.95 : x
  2. Step 2: Convert to fraction form
    2,919.80/4,561.95 = 4,561.95/x
  3. Step 3: Cross multiply
    2,919.80x = 4,561.95 × 4,561.95
  4. Step 4: Simplify right side
    2,919.80x = 20,811,345.03
  5. Step 5: Solve for x
    x = 20,811,345.03/2,919.80
  6. Step 6: Final answer
    x = 7,127.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.