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Finding the Third Proportional to 14,983 and 33,293

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Solution

The third proportional to 14,983 and 33,293 is: 73,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983 : 33,293 = 33,293 : x
  2. Step 2: Convert to fraction form
    14,983/33,293 = 33,293/x
  3. Step 3: Cross multiply
    14,983x = 33,293 × 33,293
  4. Step 4: Simplify right side
    14,983x = 1,108,423,849
  5. Step 5: Solve for x
    x = 1,108,423,849/14,983
  6. Step 6: Final answer
    x = 73,978.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.