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Finding the Third Proportional to 14,958 and 23,467

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Solution

The third proportional to 14,958 and 23,467 is: 36,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,958 : 23,467 = 23,467 : x
  2. Step 2: Convert to fraction form
    14,958/23,467 = 23,467/x
  3. Step 3: Cross multiply
    14,958x = 23,467 × 23,467
  4. Step 4: Simplify right side
    14,958x = 550,700,089
  5. Step 5: Solve for x
    x = 550,700,089/14,958
  6. Step 6: Final answer
    x = 36,816.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.