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Finding the Third Proportional to 24,911.30 and 27,525.45

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Solution

The third proportional to 24,911.30 and 27,525.45 is: 30,413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,911.30 : 27,525.45 = 27,525.45 : x
  2. Step 2: Convert to fraction form
    24,911.30/27,525.45 = 27,525.45/x
  3. Step 3: Cross multiply
    24,911.30x = 27,525.45 × 27,525.45
  4. Step 4: Simplify right side
    24,911.30x = 757,650,139.65
  5. Step 5: Solve for x
    x = 757,650,139.65/24,911.30
  6. Step 6: Final answer
    x = 30,413.92

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.