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Finding the Third Proportional to 12,270.45 and 26,713.62

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Solution

The third proportional to 12,270.45 and 26,713.62 is: 58,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.45 : 26,713.62 = 26,713.62 : x
  2. Step 2: Convert to fraction form
    12,270.45/26,713.62 = 26,713.62/x
  3. Step 3: Cross multiply
    12,270.45x = 26,713.62 × 26,713.62
  4. Step 4: Simplify right side
    12,270.45x = 713,617,343.24
  5. Step 5: Solve for x
    x = 713,617,343.24/12,270.45
  6. Step 6: Final answer
    x = 58,157.41

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Why These Related Problems?

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