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Finding the Third Proportional to 14,076 and 30,204

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Solution

The third proportional to 14,076 and 30,204 is: 64,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076 : 30,204 = 30,204 : x
  2. Step 2: Convert to fraction form
    14,076/30,204 = 30,204/x
  3. Step 3: Cross multiply
    14,076x = 30,204 × 30,204
  4. Step 4: Simplify right side
    14,076x = 912,281,616
  5. Step 5: Solve for x
    x = 912,281,616/14,076
  6. Step 6: Final answer
    x = 64,811.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.