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Finding the Third Proportional to 16,840.13 and 24,519.38

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Solution

The third proportional to 16,840.13 and 24,519.38 is: 35,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,840.13 : 24,519.38 = 24,519.38 : x
  2. Step 2: Convert to fraction form
    16,840.13/24,519.38 = 24,519.38/x
  3. Step 3: Cross multiply
    16,840.13x = 24,519.38 × 24,519.38
  4. Step 4: Simplify right side
    16,840.13x = 601,199,750.39
  5. Step 5: Solve for x
    x = 601,199,750.39/16,840.13
  6. Step 6: Final answer
    x = 35,700.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.