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Finding the Third Proportional to 26,543 and 58,009

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Solution

The third proportional to 26,543 and 58,009 is: 126,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,543 : 58,009 = 58,009 : x
  2. Step 2: Convert to fraction form
    26,543/58,009 = 58,009/x
  3. Step 3: Cross multiply
    26,543x = 58,009 × 58,009
  4. Step 4: Simplify right side
    26,543x = 3,365,044,081
  5. Step 5: Solve for x
    x = 3,365,044,081/26,543
  6. Step 6: Final answer
    x = 126,777.08

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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.