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Finding the Third Proportional to 26,782.21 and 58,852.51

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Solution

The third proportional to 26,782.21 and 58,852.51 is: 129,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.21 : 58,852.51 = 58,852.51 : x
  2. Step 2: Convert to fraction form
    26,782.21/58,852.51 = 58,852.51/x
  3. Step 3: Cross multiply
    26,782.21x = 58,852.51 × 58,852.51
  4. Step 4: Simplify right side
    26,782.21x = 3,463,618,135.61
  5. Step 5: Solve for x
    x = 3,463,618,135.61/26,782.21
  6. Step 6: Final answer
    x = 129,325.34

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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.