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Finding the Third Proportional to 14,526 and 33,966

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Solution

The third proportional to 14,526 and 33,966 is: 79,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526 : 33,966 = 33,966 : x
  2. Step 2: Convert to fraction form
    14,526/33,966 = 33,966/x
  3. Step 3: Cross multiply
    14,526x = 33,966 × 33,966
  4. Step 4: Simplify right side
    14,526x = 1,153,689,156
  5. Step 5: Solve for x
    x = 1,153,689,156/14,526
  6. Step 6: Final answer
    x = 79,422.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.