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Finding the Third Proportional to 26,524.13 and 57,713.34

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Solution

The third proportional to 26,524.13 and 57,713.34 is: 125,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,524.13 : 57,713.34 = 57,713.34 : x
  2. Step 2: Convert to fraction form
    26,524.13/57,713.34 = 57,713.34/x
  3. Step 3: Cross multiply
    26,524.13x = 57,713.34 × 57,713.34
  4. Step 4: Simplify right side
    26,524.13x = 3,330,830,046.81
  5. Step 5: Solve for x
    x = 3,330,830,046.81/26,524.13
  6. Step 6: Final answer
    x = 125,577.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.