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Finding the Third Proportional to 8,707.31 and 19,083.94

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Solution

The third proportional to 8,707.31 and 19,083.94 is: 41,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,707.31 : 19,083.94 = 19,083.94 : x
  2. Step 2: Convert to fraction form
    8,707.31/19,083.94 = 19,083.94/x
  3. Step 3: Cross multiply
    8,707.31x = 19,083.94 × 19,083.94
  4. Step 4: Simplify right side
    8,707.31x = 364,196,670.50
  5. Step 5: Solve for x
    x = 364,196,670.50/8,707.31
  6. Step 6: Final answer
    x = 41,826.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.