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Finding the Third Proportional to 14,836.50 and 35,023.22

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Solution

The third proportional to 14,836.50 and 35,023.22 is: 82,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836.50 : 35,023.22 = 35,023.22 : x
  2. Step 2: Convert to fraction form
    14,836.50/35,023.22 = 35,023.22/x
  3. Step 3: Cross multiply
    14,836.50x = 35,023.22 × 35,023.22
  4. Step 4: Simplify right side
    14,836.50x = 1,226,625,851.61
  5. Step 5: Solve for x
    x = 1,226,625,851.61/14,836.50
  6. Step 6: Final answer
    x = 82,676.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.