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Finding the Third Proportional to 14,793.47 and 33,975.28

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Solution

The third proportional to 14,793.47 and 33,975.28 is: 78,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793.47 : 33,975.28 = 33,975.28 : x
  2. Step 2: Convert to fraction form
    14,793.47/33,975.28 = 33,975.28/x
  3. Step 3: Cross multiply
    14,793.47x = 33,975.28 × 33,975.28
  4. Step 4: Simplify right side
    14,793.47x = 1,154,319,736.02
  5. Step 5: Solve for x
    x = 1,154,319,736.02/14,793.47
  6. Step 6: Final answer
    x = 78,029.01

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.