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Finding the Third Proportional to 14,466 and 33,483

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Solution

The third proportional to 14,466 and 33,483 is: 77,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466 : 33,483 = 33,483 : x
  2. Step 2: Convert to fraction form
    14,466/33,483 = 33,483/x
  3. Step 3: Cross multiply
    14,466x = 33,483 × 33,483
  4. Step 4: Simplify right side
    14,466x = 1,121,111,289
  5. Step 5: Solve for x
    x = 1,121,111,289/14,466
  6. Step 6: Final answer
    x = 77,499.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.