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Finding the Third Proportional to 7,059 and 14,658

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Solution

The third proportional to 7,059 and 14,658 is: 30,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059 : 14,658 = 14,658 : x
  2. Step 2: Convert to fraction form
    7,059/14,658 = 14,658/x
  3. Step 3: Cross multiply
    7,059x = 14,658 × 14,658
  4. Step 4: Simplify right side
    7,059x = 214,856,964
  5. Step 5: Solve for x
    x = 214,856,964/7,059
  6. Step 6: Final answer
    x = 30,437.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.