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Finding the Third Proportional to 6,240.59 and 13,574.67

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Solution

The third proportional to 6,240.59 and 13,574.67 is: 29,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,240.59 : 13,574.67 = 13,574.67 : x
  2. Step 2: Convert to fraction form
    6,240.59/13,574.67 = 13,574.67/x
  3. Step 3: Cross multiply
    6,240.59x = 13,574.67 × 13,574.67
  4. Step 4: Simplify right side
    6,240.59x = 184,271,716.51
  5. Step 5: Solve for x
    x = 184,271,716.51/6,240.59
  6. Step 6: Final answer
    x = 29,527.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.