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Finding the Third Proportional to 5,129 and 10,798

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Solution

The third proportional to 5,129 and 10,798 is: 22,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129 : 10,798 = 10,798 : x
  2. Step 2: Convert to fraction form
    5,129/10,798 = 10,798/x
  3. Step 3: Cross multiply
    5,129x = 10,798 × 10,798
  4. Step 4: Simplify right side
    5,129x = 116,596,804
  5. Step 5: Solve for x
    x = 116,596,804/5,129
  6. Step 6: Final answer
    x = 22,732.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.