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Finding the Third Proportional to 13,852.13 and 30,241.13

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Solution

The third proportional to 13,852.13 and 30,241.13 is: 66,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.13 : 30,241.13 = 30,241.13 : x
  2. Step 2: Convert to fraction form
    13,852.13/30,241.13 = 30,241.13/x
  3. Step 3: Cross multiply
    13,852.13x = 30,241.13 × 30,241.13
  4. Step 4: Simplify right side
    13,852.13x = 914,525,641.27
  5. Step 5: Solve for x
    x = 914,525,641.27/13,852.13
  6. Step 6: Final answer
    x = 66,020.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.