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Finding the Third Proportional to 26,287.22 and 57,011.16

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Solution

The third proportional to 26,287.22 and 57,011.16 is: 123,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,287.22 : 57,011.16 = 57,011.16 : x
  2. Step 2: Convert to fraction form
    26,287.22/57,011.16 = 57,011.16/x
  3. Step 3: Cross multiply
    26,287.22x = 57,011.16 × 57,011.16
  4. Step 4: Simplify right side
    26,287.22x = 3,250,271,936.96
  5. Step 5: Solve for x
    x = 3,250,271,936.96/26,287.22
  6. Step 6: Final answer
    x = 123,644.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.