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Finding the Third Proportional to 9,195.25 and 19,848.25

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Solution

The third proportional to 9,195.25 and 19,848.25 is: 42,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.25 : 19,848.25 = 19,848.25 : x
  2. Step 2: Convert to fraction form
    9,195.25/19,848.25 = 19,848.25/x
  3. Step 3: Cross multiply
    9,195.25x = 19,848.25 × 19,848.25
  4. Step 4: Simplify right side
    9,195.25x = 393,953,028.06
  5. Step 5: Solve for x
    x = 393,953,028.06/9,195.25
  6. Step 6: Final answer
    x = 42,843.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.