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Finding the Third Proportional to 12,921.75 and 28,298.25

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Solution

The third proportional to 12,921.75 and 28,298.25 is: 61,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.75 : 28,298.25 = 28,298.25 : x
  2. Step 2: Convert to fraction form
    12,921.75/28,298.25 = 28,298.25/x
  3. Step 3: Cross multiply
    12,921.75x = 28,298.25 × 28,298.25
  4. Step 4: Simplify right side
    12,921.75x = 800,790,953.06
  5. Step 5: Solve for x
    x = 800,790,953.06/12,921.75
  6. Step 6: Final answer
    x = 61,972.33

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