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Finding the Third Proportional to 6,746 and 14,596

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Solution

The third proportional to 6,746 and 14,596 is: 31,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746 : 14,596 = 14,596 : x
  2. Step 2: Convert to fraction form
    6,746/14,596 = 14,596/x
  3. Step 3: Cross multiply
    6,746x = 14,596 × 14,596
  4. Step 4: Simplify right side
    6,746x = 213,043,216
  5. Step 5: Solve for x
    x = 213,043,216/6,746
  6. Step 6: Final answer
    x = 31,580.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.