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Finding the Third Proportional to 51,802.03 and 77,896.69

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Solution

The third proportional to 51,802.03 and 77,896.69 is: 117,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,802.03 : 77,896.69 = 77,896.69 : x
  2. Step 2: Convert to fraction form
    51,802.03/77,896.69 = 77,896.69/x
  3. Step 3: Cross multiply
    51,802.03x = 77,896.69 × 77,896.69
  4. Step 4: Simplify right side
    51,802.03x = 6,067,893,923.47
  5. Step 5: Solve for x
    x = 6,067,893,923.47/51,802.03
  6. Step 6: Final answer
    x = 117,136.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.