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Finding the Third Proportional to 14,091.47 and 30,823.03

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Solution

The third proportional to 14,091.47 and 30,823.03 is: 67,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.47 : 30,823.03 = 30,823.03 : x
  2. Step 2: Convert to fraction form
    14,091.47/30,823.03 = 30,823.03/x
  3. Step 3: Cross multiply
    14,091.47x = 30,823.03 × 30,823.03
  4. Step 4: Simplify right side
    14,091.47x = 950,059,255.44
  5. Step 5: Solve for x
    x = 950,059,255.44/14,091.47
  6. Step 6: Final answer
    x = 67,420.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.