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Finding the Third Proportional to 41,507 and 91,736.25

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Solution

The third proportional to 41,507 and 91,736.25 is: 202,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,507 : 91,736.25 = 91,736.25 : x
  2. Step 2: Convert to fraction form
    41,507/91,736.25 = 91,736.25/x
  3. Step 3: Cross multiply
    41,507x = 91,736.25 × 91,736.25
  4. Step 4: Simplify right side
    41,507x = 8,415,539,564.06
  5. Step 5: Solve for x
    x = 8,415,539,564.06/41,507
  6. Step 6: Final answer
    x = 202,749.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.