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Finding the Third Proportional to 27,720 and 41,357.25

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Solution

The third proportional to 27,720 and 41,357.25 is: 61,703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 41,357.25 = 41,357.25 : x
  2. Step 2: Convert to fraction form
    27,720/41,357.25 = 41,357.25/x
  3. Step 3: Cross multiply
    27,720x = 41,357.25 × 41,357.25
  4. Step 4: Simplify right side
    27,720x = 1,710,422,127.56
  5. Step 5: Solve for x
    x = 1,710,422,127.56/27,720
  6. Step 6: Final answer
    x = 61,703.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.