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Finding the Third Proportional to 14,000 and 21,614

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Solution

The third proportional to 14,000 and 21,614 is: 33,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000 : 21,614 = 21,614 : x
  2. Step 2: Convert to fraction form
    14,000/21,614 = 21,614/x
  3. Step 3: Cross multiply
    14,000x = 21,614 × 21,614
  4. Step 4: Simplify right side
    14,000x = 467,164,996
  5. Step 5: Solve for x
    x = 467,164,996/14,000
  6. Step 6: Final answer
    x = 33,368.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.