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Finding the Third Proportional to 51,036.75 and 75,097.13

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Solution

The third proportional to 51,036.75 and 75,097.13 is: 110,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,036.75 : 75,097.13 = 75,097.13 : x
  2. Step 2: Convert to fraction form
    51,036.75/75,097.13 = 75,097.13/x
  3. Step 3: Cross multiply
    51,036.75x = 75,097.13 × 75,097.13
  4. Step 4: Simplify right side
    51,036.75x = 5,639,578,183.27
  5. Step 5: Solve for x
    x = 5,639,578,183.27/51,036.75
  6. Step 6: Final answer
    x = 110,500.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.