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Finding the Third Proportional to 14,283 and 33,378.75

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Solution

The third proportional to 14,283 and 33,378.75 is: 78,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283 : 33,378.75 = 33,378.75 : x
  2. Step 2: Convert to fraction form
    14,283/33,378.75 = 33,378.75/x
  3. Step 3: Cross multiply
    14,283x = 33,378.75 × 33,378.75
  4. Step 4: Simplify right side
    14,283x = 1,114,140,951.56
  5. Step 5: Solve for x
    x = 1,114,140,951.56/14,283
  6. Step 6: Final answer
    x = 78,004.69

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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.