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Finding the Third Proportional to 16,184 and 35,056

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Solution

The third proportional to 16,184 and 35,056 is: 75,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184 : 35,056 = 35,056 : x
  2. Step 2: Convert to fraction form
    16,184/35,056 = 35,056/x
  3. Step 3: Cross multiply
    16,184x = 35,056 × 35,056
  4. Step 4: Simplify right side
    16,184x = 1,228,923,136
  5. Step 5: Solve for x
    x = 1,228,923,136/16,184
  6. Step 6: Final answer
    x = 75,934.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.