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Finding the Third Proportional to 1,590.75 and 3,416.63

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Solution

The third proportional to 1,590.75 and 3,416.63 is: 7,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.75 : 3,416.63 = 3,416.63 : x
  2. Step 2: Convert to fraction form
    1,590.75/3,416.63 = 3,416.63/x
  3. Step 3: Cross multiply
    1,590.75x = 3,416.63 × 3,416.63
  4. Step 4: Simplify right side
    1,590.75x = 11,673,326.39
  5. Step 5: Solve for x
    x = 11,673,326.39/1,590.75
  6. Step 6: Final answer
    x = 7,338.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.