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Finding the Third Proportional to 12,260.75 and 27,297.50

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Solution

The third proportional to 12,260.75 and 27,297.50 is: 60,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,260.75 : 27,297.50 = 27,297.50 : x
  2. Step 2: Convert to fraction form
    12,260.75/27,297.50 = 27,297.50/x
  3. Step 3: Cross multiply
    12,260.75x = 27,297.50 × 27,297.50
  4. Step 4: Simplify right side
    12,260.75x = 745,153,506.25
  5. Step 5: Solve for x
    x = 745,153,506.25/12,260.75
  6. Step 6: Final answer
    x = 60,775.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.