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Finding the Third Proportional to 27,242 and 41,655.75

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Solution

The third proportional to 27,242 and 41,655.75 is: 63,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242 : 41,655.75 = 41,655.75 : x
  2. Step 2: Convert to fraction form
    27,242/41,655.75 = 41,655.75/x
  3. Step 3: Cross multiply
    27,242x = 41,655.75 × 41,655.75
  4. Step 4: Simplify right side
    27,242x = 1,735,201,508.06
  5. Step 5: Solve for x
    x = 1,735,201,508.06/27,242
  6. Step 6: Final answer
    x = 63,695.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.