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Finding the Third Proportional to 10,901.25 and 16,778.25

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Solution

The third proportional to 10,901.25 and 16,778.25 is: 25,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.25 : 16,778.25 = 16,778.25 : x
  2. Step 2: Convert to fraction form
    10,901.25/16,778.25 = 16,778.25/x
  3. Step 3: Cross multiply
    10,901.25x = 16,778.25 × 16,778.25
  4. Step 4: Simplify right side
    10,901.25x = 281,509,673.06
  5. Step 5: Solve for x
    x = 281,509,673.06/10,901.25
  6. Step 6: Final answer
    x = 25,823.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.