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Finding the Third Proportional to 9,205.31 and 19,071.28

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Solution

The third proportional to 9,205.31 and 19,071.28 is: 39,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.31 : 19,071.28 = 19,071.28 : x
  2. Step 2: Convert to fraction form
    9,205.31/19,071.28 = 19,071.28/x
  3. Step 3: Cross multiply
    9,205.31x = 19,071.28 × 19,071.28
  4. Step 4: Simplify right side
    9,205.31x = 363,713,768.52
  5. Step 5: Solve for x
    x = 363,713,768.52/9,205.31
  6. Step 6: Final answer
    x = 39,511.29

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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.