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Finding the Third Proportional to 12,967.50 and 27,085.50

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Solution

The third proportional to 12,967.50 and 27,085.50 is: 56,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.50 : 27,085.50 = 27,085.50 : x
  2. Step 2: Convert to fraction form
    12,967.50/27,085.50 = 27,085.50/x
  3. Step 3: Cross multiply
    12,967.50x = 27,085.50 × 27,085.50
  4. Step 4: Simplify right side
    12,967.50x = 733,624,310.25
  5. Step 5: Solve for x
    x = 733,624,310.25/12,967.50
  6. Step 6: Final answer
    x = 56,574.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.