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Finding the Third Proportional to 9,296 and 14,564

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Solution

The third proportional to 9,296 and 14,564 is: 22,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296 : 14,564 = 14,564 : x
  2. Step 2: Convert to fraction form
    9,296/14,564 = 14,564/x
  3. Step 3: Cross multiply
    9,296x = 14,564 × 14,564
  4. Step 4: Simplify right side
    9,296x = 212,110,096
  5. Step 5: Solve for x
    x = 212,110,096/9,296
  6. Step 6: Final answer
    x = 22,817.35

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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.