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Finding the Third Proportional to 6,564.80 and 13,277.67

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Solution

The third proportional to 6,564.80 and 13,277.67 is: 26,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.80 : 13,277.67 = 13,277.67 : x
  2. Step 2: Convert to fraction form
    6,564.80/13,277.67 = 13,277.67/x
  3. Step 3: Cross multiply
    6,564.80x = 13,277.67 × 13,277.67
  4. Step 4: Simplify right side
    6,564.80x = 176,296,570.42
  5. Step 5: Solve for x
    x = 176,296,570.42/6,564.80
  6. Step 6: Final answer
    x = 26,854.84

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.