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Finding the Third Proportional to 12,902.25 and 28,263.75

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Solution

The third proportional to 12,902.25 and 28,263.75 is: 61,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.25 : 28,263.75 = 28,263.75 : x
  2. Step 2: Convert to fraction form
    12,902.25/28,263.75 = 28,263.75/x
  3. Step 3: Cross multiply
    12,902.25x = 28,263.75 × 28,263.75
  4. Step 4: Simplify right side
    12,902.25x = 798,839,564.06
  5. Step 5: Solve for x
    x = 798,839,564.06/12,902.25
  6. Step 6: Final answer
    x = 61,914.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.