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Finding the Third Proportional to 26,053.50 and 57,009

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Solution

The third proportional to 26,053.50 and 57,009 is: 124,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,053.50 : 57,009 = 57,009 : x
  2. Step 2: Convert to fraction form
    26,053.50/57,009 = 57,009/x
  3. Step 3: Cross multiply
    26,053.50x = 57,009 × 57,009
  4. Step 4: Simplify right side
    26,053.50x = 3,250,026,081
  5. Step 5: Solve for x
    x = 3,250,026,081/26,053.50
  6. Step 6: Final answer
    x = 124,744.32

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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.