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Finding the Third Proportional to 9,122.06 and 18,927.56

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Solution

The third proportional to 9,122.06 and 18,927.56 is: 39,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.06 : 18,927.56 = 18,927.56 : x
  2. Step 2: Convert to fraction form
    9,122.06/18,927.56 = 18,927.56/x
  3. Step 3: Cross multiply
    9,122.06x = 18,927.56 × 18,927.56
  4. Step 4: Simplify right side
    9,122.06x = 358,252,622.19
  5. Step 5: Solve for x
    x = 358,252,622.19/9,122.06
  6. Step 6: Final answer
    x = 39,273.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.