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Finding the Third Proportional to 13,486.69 and 29,433.56

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Solution

The third proportional to 13,486.69 and 29,433.56 is: 64,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.69 : 29,433.56 = 29,433.56 : x
  2. Step 2: Convert to fraction form
    13,486.69/29,433.56 = 29,433.56/x
  3. Step 3: Cross multiply
    13,486.69x = 29,433.56 × 29,433.56
  4. Step 4: Simplify right side
    13,486.69x = 866,334,601.44
  5. Step 5: Solve for x
    x = 866,334,601.44/13,486.69
  6. Step 6: Final answer
    x = 64,236.28

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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.