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Finding the Third Proportional to 16,217 and 25,041

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Solution

The third proportional to 16,217 and 25,041 is: 38,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217 : 25,041 = 25,041 : x
  2. Step 2: Convert to fraction form
    16,217/25,041 = 25,041/x
  3. Step 3: Cross multiply
    16,217x = 25,041 × 25,041
  4. Step 4: Simplify right side
    16,217x = 627,051,681
  5. Step 5: Solve for x
    x = 627,051,681/16,217
  6. Step 6: Final answer
    x = 38,666.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.