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Finding the Third Proportional to 16,454 and 36,178

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Solution

The third proportional to 16,454 and 36,178 is: 79,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454 : 36,178 = 36,178 : x
  2. Step 2: Convert to fraction form
    16,454/36,178 = 36,178/x
  3. Step 3: Cross multiply
    16,454x = 36,178 × 36,178
  4. Step 4: Simplify right side
    16,454x = 1,308,847,684
  5. Step 5: Solve for x
    x = 1,308,847,684/16,454
  6. Step 6: Final answer
    x = 79,545.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.