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Finding the Third Proportional to 9,260 and 17,980

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Solution

The third proportional to 9,260 and 17,980 is: 34,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260 : 17,980 = 17,980 : x
  2. Step 2: Convert to fraction form
    9,260/17,980 = 17,980/x
  3. Step 3: Cross multiply
    9,260x = 17,980 × 17,980
  4. Step 4: Simplify right side
    9,260x = 323,280,400
  5. Step 5: Solve for x
    x = 323,280,400/9,260
  6. Step 6: Final answer
    x = 34,911.49

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.