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Finding the Third Proportional to 16,185.38 and 24,279.19

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Solution

The third proportional to 16,185.38 and 24,279.19 is: 36,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.38 : 24,279.19 = 24,279.19 : x
  2. Step 2: Convert to fraction form
    16,185.38/24,279.19 = 24,279.19/x
  3. Step 3: Cross multiply
    16,185.38x = 24,279.19 × 24,279.19
  4. Step 4: Simplify right side
    16,185.38x = 589,478,945.66
  5. Step 5: Solve for x
    x = 589,478,945.66/16,185.38
  6. Step 6: Final answer
    x = 36,420.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.