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Finding the Third Proportional to 9,182.25 and 19,883.25

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Solution

The third proportional to 9,182.25 and 19,883.25 is: 43,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.25 : 19,883.25 = 19,883.25 : x
  2. Step 2: Convert to fraction form
    9,182.25/19,883.25 = 19,883.25/x
  3. Step 3: Cross multiply
    9,182.25x = 19,883.25 × 19,883.25
  4. Step 4: Simplify right side
    9,182.25x = 395,343,630.56
  5. Step 5: Solve for x
    x = 395,343,630.56/9,182.25
  6. Step 6: Final answer
    x = 43,055.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.