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Finding the Third Proportional to 16,642.13 and 36,222.94

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Solution

The third proportional to 16,642.13 and 36,222.94 is: 78,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.13 : 36,222.94 = 36,222.94 : x
  2. Step 2: Convert to fraction form
    16,642.13/36,222.94 = 36,222.94/x
  3. Step 3: Cross multiply
    16,642.13x = 36,222.94 × 36,222.94
  4. Step 4: Simplify right side
    16,642.13x = 1,312,101,201.13
  5. Step 5: Solve for x
    x = 1,312,101,201.13/16,642.13
  6. Step 6: Final answer
    x = 78,842.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.