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Finding the Third Proportional to 7,107.75 and 19,090.69

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Solution

The third proportional to 7,107.75 and 19,090.69 is: 51,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.75 : 19,090.69 = 19,090.69 : x
  2. Step 2: Convert to fraction form
    7,107.75/19,090.69 = 19,090.69/x
  3. Step 3: Cross multiply
    7,107.75x = 19,090.69 × 19,090.69
  4. Step 4: Simplify right side
    7,107.75x = 364,454,349.22
  5. Step 5: Solve for x
    x = 364,454,349.22/7,107.75
  6. Step 6: Final answer
    x = 51,275.63

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.