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Finding the Third Proportional to 27,657.75 and 41,145

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Solution

The third proportional to 27,657.75 and 41,145 is: 61,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.75 : 41,145 = 41,145 : x
  2. Step 2: Convert to fraction form
    27,657.75/41,145 = 41,145/x
  3. Step 3: Cross multiply
    27,657.75x = 41,145 × 41,145
  4. Step 4: Simplify right side
    27,657.75x = 1,692,911,025
  5. Step 5: Solve for x
    x = 1,692,911,025/27,657.75
  6. Step 6: Final answer
    x = 61,209.28

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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.