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Finding the Third Proportional to 7,856 and 17,248

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Solution

The third proportional to 7,856 and 17,248 is: 37,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856 : 17,248 = 17,248 : x
  2. Step 2: Convert to fraction form
    7,856/17,248 = 17,248/x
  3. Step 3: Cross multiply
    7,856x = 17,248 × 17,248
  4. Step 4: Simplify right side
    7,856x = 297,493,504
  5. Step 5: Solve for x
    x = 297,493,504/7,856
  6. Step 6: Final answer
    x = 37,868.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.