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Finding the Third Proportional to 6,929.30 and 14,674.92

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Solution

The third proportional to 6,929.30 and 14,674.92 is: 31,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.30 : 14,674.92 = 14,674.92 : x
  2. Step 2: Convert to fraction form
    6,929.30/14,674.92 = 14,674.92/x
  3. Step 3: Cross multiply
    6,929.30x = 14,674.92 × 14,674.92
  4. Step 4: Simplify right side
    6,929.30x = 215,353,332.04
  5. Step 5: Solve for x
    x = 215,353,332.04/6,929.30
  6. Step 6: Final answer
    x = 31,078.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.