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Finding the Third Proportional to 26,798 and 58,207

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Solution

The third proportional to 26,798 and 58,207 is: 126,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,798 : 58,207 = 58,207 : x
  2. Step 2: Convert to fraction form
    26,798/58,207 = 58,207/x
  3. Step 3: Cross multiply
    26,798x = 58,207 × 58,207
  4. Step 4: Simplify right side
    26,798x = 3,388,054,849
  5. Step 5: Solve for x
    x = 3,388,054,849/26,798
  6. Step 6: Final answer
    x = 126,429.39

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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.