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Finding the Third Proportional to 12,969.25 and 28,294.25

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Solution

The third proportional to 12,969.25 and 28,294.25 is: 61,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.25 : 28,294.25 = 28,294.25 : x
  2. Step 2: Convert to fraction form
    12,969.25/28,294.25 = 28,294.25/x
  3. Step 3: Cross multiply
    12,969.25x = 28,294.25 × 28,294.25
  4. Step 4: Simplify right side
    12,969.25x = 800,564,583.06
  5. Step 5: Solve for x
    x = 800,564,583.06/12,969.25
  6. Step 6: Final answer
    x = 61,727.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.