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Finding the Third Proportional to 27,155.50 and 40,907

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Solution

The third proportional to 27,155.50 and 40,907 is: 61,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,155.50 : 40,907 = 40,907 : x
  2. Step 2: Convert to fraction form
    27,155.50/40,907 = 40,907/x
  3. Step 3: Cross multiply
    27,155.50x = 40,907 × 40,907
  4. Step 4: Simplify right side
    27,155.50x = 1,673,382,649
  5. Step 5: Solve for x
    x = 1,673,382,649/27,155.50
  6. Step 6: Final answer
    x = 61,622.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.