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Finding the Third Proportional to 1,415.81 and 2,960.72

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Solution

The third proportional to 1,415.81 and 2,960.72 is: 6,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.81 : 2,960.72 = 2,960.72 : x
  2. Step 2: Convert to fraction form
    1,415.81/2,960.72 = 2,960.72/x
  3. Step 3: Cross multiply
    1,415.81x = 2,960.72 × 2,960.72
  4. Step 4: Simplify right side
    1,415.81x = 8,765,855.52
  5. Step 5: Solve for x
    x = 8,765,855.52/1,415.81
  6. Step 6: Final answer
    x = 6,191.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.