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Finding the Third Proportional to 16,045.88 and 33,114.38

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Solution

The third proportional to 16,045.88 and 33,114.38 is: 68,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.88 : 33,114.38 = 33,114.38 : x
  2. Step 2: Convert to fraction form
    16,045.88/33,114.38 = 33,114.38/x
  3. Step 3: Cross multiply
    16,045.88x = 33,114.38 × 33,114.38
  4. Step 4: Simplify right side
    16,045.88x = 1,096,561,831.64
  5. Step 5: Solve for x
    x = 1,096,561,831.64/16,045.88
  6. Step 6: Final answer
    x = 68,339.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.