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Finding the Third Proportional to 12,754.34 and 27,460.90

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Solution

The third proportional to 12,754.34 and 27,460.90 is: 59,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.34 : 27,460.90 = 27,460.90 : x
  2. Step 2: Convert to fraction form
    12,754.34/27,460.90 = 27,460.90/x
  3. Step 3: Cross multiply
    12,754.34x = 27,460.90 × 27,460.90
  4. Step 4: Simplify right side
    12,754.34x = 754,100,942.99
  5. Step 5: Solve for x
    x = 754,100,942.99/12,754.34
  6. Step 6: Final answer
    x = 59,125.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.