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Finding the Third Proportional to 13,576 and 14,536

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Solution

The third proportional to 13,576 and 14,536 is: 15,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576 : 14,536 = 14,536 : x
  2. Step 2: Convert to fraction form
    13,576/14,536 = 14,536/x
  3. Step 3: Cross multiply
    13,576x = 14,536 × 14,536
  4. Step 4: Simplify right side
    13,576x = 211,295,296
  5. Step 5: Solve for x
    x = 211,295,296/13,576
  6. Step 6: Final answer
    x = 15,563.88

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.