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Finding the Third Proportional to 8,133.75 and 14,897.25

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Solution

The third proportional to 8,133.75 and 14,897.25 is: 27,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.75 : 14,897.25 = 14,897.25 : x
  2. Step 2: Convert to fraction form
    8,133.75/14,897.25 = 14,897.25/x
  3. Step 3: Cross multiply
    8,133.75x = 14,897.25 × 14,897.25
  4. Step 4: Simplify right side
    8,133.75x = 221,928,057.56
  5. Step 5: Solve for x
    x = 221,928,057.56/8,133.75
  6. Step 6: Final answer
    x = 27,284.84

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.