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Finding the Third Proportional to 26,054.50 and 57,011

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Solution

The third proportional to 26,054.50 and 57,011 is: 124,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,054.50 : 57,011 = 57,011 : x
  2. Step 2: Convert to fraction form
    26,054.50/57,011 = 57,011/x
  3. Step 3: Cross multiply
    26,054.50x = 57,011 × 57,011
  4. Step 4: Simplify right side
    26,054.50x = 3,250,254,121
  5. Step 5: Solve for x
    x = 3,250,254,121/26,054.50
  6. Step 6: Final answer
    x = 124,748.28

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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.