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Finding the Third Proportional to 13,168 and 14,576

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Solution

The third proportional to 13,168 and 14,576 is: 16,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,168 : 14,576 = 14,576 : x
  2. Step 2: Convert to fraction form
    13,168/14,576 = 14,576/x
  3. Step 3: Cross multiply
    13,168x = 14,576 × 14,576
  4. Step 4: Simplify right side
    13,168x = 212,459,776
  5. Step 5: Solve for x
    x = 212,459,776/13,168
  6. Step 6: Final answer
    x = 16,134.55

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.