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Finding the Third Proportional to 9,763 and 14,576

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Solution

The third proportional to 9,763 and 14,576 is: 21,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763 : 14,576 = 14,576 : x
  2. Step 2: Convert to fraction form
    9,763/14,576 = 14,576/x
  3. Step 3: Cross multiply
    9,763x = 14,576 × 14,576
  4. Step 4: Simplify right side
    9,763x = 212,459,776
  5. Step 5: Solve for x
    x = 212,459,776/9,763
  6. Step 6: Final answer
    x = 21,761.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.