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Finding the Third Proportional to 13,838.34 and 28,661.34

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Solution

The third proportional to 13,838.34 and 28,661.34 is: 59,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.34 : 28,661.34 = 28,661.34 : x
  2. Step 2: Convert to fraction form
    13,838.34/28,661.34 = 28,661.34/x
  3. Step 3: Cross multiply
    13,838.34x = 28,661.34 × 28,661.34
  4. Step 4: Simplify right side
    13,838.34x = 821,472,625.56
  5. Step 5: Solve for x
    x = 821,472,625.56/13,838.34
  6. Step 6: Final answer
    x = 59,362.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.