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Finding the Third Proportional to 51,959.81 and 76,089.38

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Solution

The third proportional to 51,959.81 and 76,089.38 is: 111,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,959.81 : 76,089.38 = 76,089.38 : x
  2. Step 2: Convert to fraction form
    51,959.81/76,089.38 = 76,089.38/x
  3. Step 3: Cross multiply
    51,959.81x = 76,089.38 × 76,089.38
  4. Step 4: Simplify right side
    51,959.81x = 5,789,592,987.89
  5. Step 5: Solve for x
    x = 5,789,592,987.89/51,959.81
  6. Step 6: Final answer
    x = 111,424.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.