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Finding the Third Proportional to 13,552 and 16,024

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Solution

The third proportional to 13,552 and 16,024 is: 18,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552 : 16,024 = 16,024 : x
  2. Step 2: Convert to fraction form
    13,552/16,024 = 16,024/x
  3. Step 3: Cross multiply
    13,552x = 16,024 × 16,024
  4. Step 4: Simplify right side
    13,552x = 256,768,576
  5. Step 5: Solve for x
    x = 256,768,576/13,552
  6. Step 6: Final answer
    x = 18,946.91

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.