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Finding the Third Proportional to 13,042.27 and 19,751.34

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Solution

The third proportional to 13,042.27 and 19,751.34 is: 29,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.27 : 19,751.34 = 19,751.34 : x
  2. Step 2: Convert to fraction form
    13,042.27/19,751.34 = 19,751.34/x
  3. Step 3: Cross multiply
    13,042.27x = 19,751.34 × 19,751.34
  4. Step 4: Simplify right side
    13,042.27x = 390,115,579.93
  5. Step 5: Solve for x
    x = 390,115,579.93/13,042.27
  6. Step 6: Final answer
    x = 29,911.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.