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Finding the Third Proportional to 14,677 and 25,616

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Solution

The third proportional to 14,677 and 25,616 is: 44,708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677 : 25,616 = 25,616 : x
  2. Step 2: Convert to fraction form
    14,677/25,616 = 25,616/x
  3. Step 3: Cross multiply
    14,677x = 25,616 × 25,616
  4. Step 4: Simplify right side
    14,677x = 656,179,456
  5. Step 5: Solve for x
    x = 656,179,456/14,677
  6. Step 6: Final answer
    x = 44,708.01

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.