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Finding the Third Proportional to 16,828.13 and 36,442.13

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Solution

The third proportional to 16,828.13 and 36,442.13 is: 78,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.13 : 36,442.13 = 36,442.13 : x
  2. Step 2: Convert to fraction form
    16,828.13/36,442.13 = 36,442.13/x
  3. Step 3: Cross multiply
    16,828.13x = 36,442.13 × 36,442.13
  4. Step 4: Simplify right side
    16,828.13x = 1,328,028,474.52
  5. Step 5: Solve for x
    x = 1,328,028,474.52/16,828.13
  6. Step 6: Final answer
    x = 78,917.20

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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.