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Finding the Third Proportional to 10,818 and 16,305

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Solution

The third proportional to 10,818 and 16,305 is: 24,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818 : 16,305 = 16,305 : x
  2. Step 2: Convert to fraction form
    10,818/16,305 = 16,305/x
  3. Step 3: Cross multiply
    10,818x = 16,305 × 16,305
  4. Step 4: Simplify right side
    10,818x = 265,853,025
  5. Step 5: Solve for x
    x = 265,853,025/10,818
  6. Step 6: Final answer
    x = 24,575.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.