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Finding the Third Proportional to 1,904.77 and 4,180.36

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Solution

The third proportional to 1,904.77 and 4,180.36 is: 9,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.77 : 4,180.36 = 4,180.36 : x
  2. Step 2: Convert to fraction form
    1,904.77/4,180.36 = 4,180.36/x
  3. Step 3: Cross multiply
    1,904.77x = 4,180.36 × 4,180.36
  4. Step 4: Simplify right side
    1,904.77x = 17,475,404.50
  5. Step 5: Solve for x
    x = 17,475,404.50/1,904.77
  6. Step 6: Final answer
    x = 9,174.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.