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Finding the Third Proportional to 26,413 and 58,009

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Solution

The third proportional to 26,413 and 58,009 is: 127,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,413 : 58,009 = 58,009 : x
  2. Step 2: Convert to fraction form
    26,413/58,009 = 58,009/x
  3. Step 3: Cross multiply
    26,413x = 58,009 × 58,009
  4. Step 4: Simplify right side
    26,413x = 3,365,044,081
  5. Step 5: Solve for x
    x = 3,365,044,081/26,413
  6. Step 6: Final answer
    x = 127,401.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.