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Finding the Third Proportional to 10,464 and 16,416

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Solution

The third proportional to 10,464 and 16,416 is: 25,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464 : 16,416 = 16,416 : x
  2. Step 2: Convert to fraction form
    10,464/16,416 = 16,416/x
  3. Step 3: Cross multiply
    10,464x = 16,416 × 16,416
  4. Step 4: Simplify right side
    10,464x = 269,485,056
  5. Step 5: Solve for x
    x = 269,485,056/10,464
  6. Step 6: Final answer
    x = 25,753.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.