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Finding the Third Proportional to 14,484 and 33,546

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Solution

The third proportional to 14,484 and 33,546 is: 77,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484 : 33,546 = 33,546 : x
  2. Step 2: Convert to fraction form
    14,484/33,546 = 33,546/x
  3. Step 3: Cross multiply
    14,484x = 33,546 × 33,546
  4. Step 4: Simplify right side
    14,484x = 1,125,334,116
  5. Step 5: Solve for x
    x = 1,125,334,116/14,484
  6. Step 6: Final answer
    x = 77,694.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.