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Finding the Third Proportional to 25,852.92 and 28,150.03

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Solution

The third proportional to 25,852.92 and 28,150.03 is: 30,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.92 : 28,150.03 = 28,150.03 : x
  2. Step 2: Convert to fraction form
    25,852.92/28,150.03 = 28,150.03/x
  3. Step 3: Cross multiply
    25,852.92x = 28,150.03 × 28,150.03
  4. Step 4: Simplify right side
    25,852.92x = 792,424,259.38
  5. Step 5: Solve for x
    x = 792,424,259.38/25,852.92
  6. Step 6: Final answer
    x = 30,651.25

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.