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Finding the Third Proportional to 6,964 and 14,658

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Solution

The third proportional to 6,964 and 14,658 is: 30,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964 : 14,658 = 14,658 : x
  2. Step 2: Convert to fraction form
    6,964/14,658 = 14,658/x
  3. Step 3: Cross multiply
    6,964x = 14,658 × 14,658
  4. Step 4: Simplify right side
    6,964x = 214,856,964
  5. Step 5: Solve for x
    x = 214,856,964/6,964
  6. Step 6: Final answer
    x = 30,852.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.