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Finding the Third Proportional to 16,715 and 25,913

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Solution

The third proportional to 16,715 and 25,913 is: 40,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,715 : 25,913 = 25,913 : x
  2. Step 2: Convert to fraction form
    16,715/25,913 = 25,913/x
  3. Step 3: Cross multiply
    16,715x = 25,913 × 25,913
  4. Step 4: Simplify right side
    16,715x = 671,483,569
  5. Step 5: Solve for x
    x = 671,483,569/16,715
  6. Step 6: Final answer
    x = 40,172.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.