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Finding the Third Proportional to 10,504 and 15,682

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Solution

The third proportional to 10,504 and 15,682 is: 23,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504 : 15,682 = 15,682 : x
  2. Step 2: Convert to fraction form
    10,504/15,682 = 15,682/x
  3. Step 3: Cross multiply
    10,504x = 15,682 × 15,682
  4. Step 4: Simplify right side
    10,504x = 245,925,124
  5. Step 5: Solve for x
    x = 245,925,124/10,504
  6. Step 6: Final answer
    x = 23,412.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.