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Finding the Third Proportional to 26,507.25 and 41,218.88

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Solution

The third proportional to 26,507.25 and 41,218.88 is: 64,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,507.25 : 41,218.88 = 41,218.88 : x
  2. Step 2: Convert to fraction form
    26,507.25/41,218.88 = 41,218.88/x
  3. Step 3: Cross multiply
    26,507.25x = 41,218.88 × 41,218.88
  4. Step 4: Simplify right side
    26,507.25x = 1,698,995,656.27
  5. Step 5: Solve for x
    x = 1,698,995,656.27/26,507.25
  6. Step 6: Final answer
    x = 64,095.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.