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Finding the Third Proportional to 14,333.63 and 30,408.75

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Solution

The third proportional to 14,333.63 and 30,408.75 is: 64,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,333.63 : 30,408.75 = 30,408.75 : x
  2. Step 2: Convert to fraction form
    14,333.63/30,408.75 = 30,408.75/x
  3. Step 3: Cross multiply
    14,333.63x = 30,408.75 × 30,408.75
  4. Step 4: Simplify right side
    14,333.63x = 924,692,076.56
  5. Step 5: Solve for x
    x = 924,692,076.56/14,333.63
  6. Step 6: Final answer
    x = 64,512.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.