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Finding the Third Proportional to 13,614.75 and 29,076.75

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Solution

The third proportional to 13,614.75 and 29,076.75 is: 62,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.75 : 29,076.75 = 29,076.75 : x
  2. Step 2: Convert to fraction form
    13,614.75/29,076.75 = 29,076.75/x
  3. Step 3: Cross multiply
    13,614.75x = 29,076.75 × 29,076.75
  4. Step 4: Simplify right side
    13,614.75x = 845,457,390.56
  5. Step 5: Solve for x
    x = 845,457,390.56/13,614.75
  6. Step 6: Final answer
    x = 62,098.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.