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Finding the Third Proportional to 9,686 and 15,477

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Solution

The third proportional to 9,686 and 15,477 is: 24,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686 : 15,477 = 15,477 : x
  2. Step 2: Convert to fraction form
    9,686/15,477 = 15,477/x
  3. Step 3: Cross multiply
    9,686x = 15,477 × 15,477
  4. Step 4: Simplify right side
    9,686x = 239,537,529
  5. Step 5: Solve for x
    x = 239,537,529/9,686
  6. Step 6: Final answer
    x = 24,730.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.