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Finding the Third Proportional to 14,454 and 33,582

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Solution

The third proportional to 14,454 and 33,582 is: 78,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454 : 33,582 = 33,582 : x
  2. Step 2: Convert to fraction form
    14,454/33,582 = 33,582/x
  3. Step 3: Cross multiply
    14,454x = 33,582 × 33,582
  4. Step 4: Simplify right side
    14,454x = 1,127,750,724
  5. Step 5: Solve for x
    x = 1,127,750,724/14,454
  6. Step 6: Final answer
    x = 78,023.43

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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.