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Finding the Third Proportional to 4,488.41 and 7,170.51

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Solution

The third proportional to 4,488.41 and 7,170.51 is: 11,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.41 : 7,170.51 = 7,170.51 : x
  2. Step 2: Convert to fraction form
    4,488.41/7,170.51 = 7,170.51/x
  3. Step 3: Cross multiply
    4,488.41x = 7,170.51 × 7,170.51
  4. Step 4: Simplify right side
    4,488.41x = 51,416,248.87
  5. Step 5: Solve for x
    x = 51,416,248.87/4,488.41
  6. Step 6: Final answer
    x = 11,455.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.