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Finding the Third Proportional to 12,298.75 and 28,873.75

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Solution

The third proportional to 12,298.75 and 28,873.75 is: 67,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.75 : 28,873.75 = 28,873.75 : x
  2. Step 2: Convert to fraction form
    12,298.75/28,873.75 = 28,873.75/x
  3. Step 3: Cross multiply
    12,298.75x = 28,873.75 × 28,873.75
  4. Step 4: Simplify right side
    12,298.75x = 833,693,439.06
  5. Step 5: Solve for x
    x = 833,693,439.06/12,298.75
  6. Step 6: Final answer
    x = 67,786.84

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.