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Finding the Third Proportional to 26,553 and 58,210

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Solution

The third proportional to 26,553 and 58,210 is: 127,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,553 : 58,210 = 58,210 : x
  2. Step 2: Convert to fraction form
    26,553/58,210 = 58,210/x
  3. Step 3: Cross multiply
    26,553x = 58,210 × 58,210
  4. Step 4: Simplify right side
    26,553x = 3,388,404,100
  5. Step 5: Solve for x
    x = 3,388,404,100/26,553
  6. Step 6: Final answer
    x = 127,609.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.