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Finding the Third Proportional to 38,576.25 and 51,440.06

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Solution

The third proportional to 38,576.25 and 51,440.06 is: 68,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,576.25 : 51,440.06 = 51,440.06 : x
  2. Step 2: Convert to fraction form
    38,576.25/51,440.06 = 51,440.06/x
  3. Step 3: Cross multiply
    38,576.25x = 51,440.06 × 51,440.06
  4. Step 4: Simplify right side
    38,576.25x = 2,646,080,030.00
  5. Step 5: Solve for x
    x = 2,646,080,030.00/38,576.25
  6. Step 6: Final answer
    x = 68,593.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.