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Finding the Third Proportional to 12,410.25 and 27,007.50

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Solution

The third proportional to 12,410.25 and 27,007.50 is: 58,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.25 : 27,007.50 = 27,007.50 : x
  2. Step 2: Convert to fraction form
    12,410.25/27,007.50 = 27,007.50/x
  3. Step 3: Cross multiply
    12,410.25x = 27,007.50 × 27,007.50
  4. Step 4: Simplify right side
    12,410.25x = 729,405,056.25
  5. Step 5: Solve for x
    x = 729,405,056.25/12,410.25
  6. Step 6: Final answer
    x = 58,774.40

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