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Finding the Third Proportional to 2,574.28 and 5,931.67

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Solution

The third proportional to 2,574.28 and 5,931.67 is: 13,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.28 : 5,931.67 = 5,931.67 : x
  2. Step 2: Convert to fraction form
    2,574.28/5,931.67 = 5,931.67/x
  3. Step 3: Cross multiply
    2,574.28x = 5,931.67 × 5,931.67
  4. Step 4: Simplify right side
    2,574.28x = 35,184,684.89
  5. Step 5: Solve for x
    x = 35,184,684.89/2,574.28
  6. Step 6: Final answer
    x = 13,667.77

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.