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Finding the Third Proportional to 26,145 and 53,679.94

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Solution

The third proportional to 26,145 and 53,679.94 is: 110,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,145 : 53,679.94 = 53,679.94 : x
  2. Step 2: Convert to fraction form
    26,145/53,679.94 = 53,679.94/x
  3. Step 3: Cross multiply
    26,145x = 53,679.94 × 53,679.94
  4. Step 4: Simplify right side
    26,145x = 2,881,535,690.00
  5. Step 5: Solve for x
    x = 2,881,535,690.00/26,145
  6. Step 6: Final answer
    x = 110,213.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.