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Finding the Third Proportional to 5,197 and 7,904

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Solution

The third proportional to 5,197 and 7,904 is: 12,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197 : 7,904 = 7,904 : x
  2. Step 2: Convert to fraction form
    5,197/7,904 = 7,904/x
  3. Step 3: Cross multiply
    5,197x = 7,904 × 7,904
  4. Step 4: Simplify right side
    5,197x = 62,473,216
  5. Step 5: Solve for x
    x = 62,473,216/5,197
  6. Step 6: Final answer
    x = 12,021.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.