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Finding the Third Proportional to 19,078.31 and 28,047.09

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Solution

The third proportional to 19,078.31 and 28,047.09 is: 41,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,078.31 : 28,047.09 = 28,047.09 : x
  2. Step 2: Convert to fraction form
    19,078.31/28,047.09 = 28,047.09/x
  3. Step 3: Cross multiply
    19,078.31x = 28,047.09 × 28,047.09
  4. Step 4: Simplify right side
    19,078.31x = 786,639,467.82
  5. Step 5: Solve for x
    x = 786,639,467.82/19,078.31
  6. Step 6: Final answer
    x = 41,232.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.