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Finding the Third Proportional to 9,724 and 18,091

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Solution

The third proportional to 9,724 and 18,091 is: 33,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 18,091 = 18,091 : x
  2. Step 2: Convert to fraction form
    9,724/18,091 = 18,091/x
  3. Step 3: Cross multiply
    9,724x = 18,091 × 18,091
  4. Step 4: Simplify right side
    9,724x = 327,284,281
  5. Step 5: Solve for x
    x = 327,284,281/9,724
  6. Step 6: Final answer
    x = 33,657.37

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.