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Finding the Third Proportional to 41,580 and 91,725.75

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Solution

The third proportional to 41,580 and 91,725.75 is: 202,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,580 : 91,725.75 = 91,725.75 : x
  2. Step 2: Convert to fraction form
    41,580/91,725.75 = 91,725.75/x
  3. Step 3: Cross multiply
    41,580x = 91,725.75 × 91,725.75
  4. Step 4: Simplify right side
    41,580x = 8,413,613,213.06
  5. Step 5: Solve for x
    x = 8,413,613,213.06/41,580
  6. Step 6: Final answer
    x = 202,347.60

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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.