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Finding the Third Proportional to 11,024 and 16,300

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Solution

The third proportional to 11,024 and 16,300 is: 24,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024 : 16,300 = 16,300 : x
  2. Step 2: Convert to fraction form
    11,024/16,300 = 16,300/x
  3. Step 3: Cross multiply
    11,024x = 16,300 × 16,300
  4. Step 4: Simplify right side
    11,024x = 265,690,000
  5. Step 5: Solve for x
    x = 265,690,000/11,024
  6. Step 6: Final answer
    x = 24,101.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.