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Finding the Third Proportional to 7,970 and 17,036

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Solution

The third proportional to 7,970 and 17,036 is: 36,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970 : 17,036 = 17,036 : x
  2. Step 2: Convert to fraction form
    7,970/17,036 = 17,036/x
  3. Step 3: Cross multiply
    7,970x = 17,036 × 17,036
  4. Step 4: Simplify right side
    7,970x = 290,225,296
  5. Step 5: Solve for x
    x = 290,225,296/7,970
  6. Step 6: Final answer
    x = 36,414.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.