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Finding the Third Proportional to 19,071.75 and 39,887.25

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Solution

The third proportional to 19,071.75 and 39,887.25 is: 83,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,071.75 : 39,887.25 = 39,887.25 : x
  2. Step 2: Convert to fraction form
    19,071.75/39,887.25 = 39,887.25/x
  3. Step 3: Cross multiply
    19,071.75x = 39,887.25 × 39,887.25
  4. Step 4: Simplify right side
    19,071.75x = 1,590,992,712.56
  5. Step 5: Solve for x
    x = 1,590,992,712.56/19,071.75
  6. Step 6: Final answer
    x = 83,421.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.