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Finding the Third Proportional to 13,042.50 and 25,435.50

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Solution

The third proportional to 13,042.50 and 25,435.50 is: 49,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.50 : 25,435.50 = 25,435.50 : x
  2. Step 2: Convert to fraction form
    13,042.50/25,435.50 = 25,435.50/x
  3. Step 3: Cross multiply
    13,042.50x = 25,435.50 × 25,435.50
  4. Step 4: Simplify right side
    13,042.50x = 646,964,660.25
  5. Step 5: Solve for x
    x = 646,964,660.25/13,042.50
  6. Step 6: Final answer
    x = 49,604.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.