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Finding the Third Proportional to 2,924.86 and 4,495.92

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Solution

The third proportional to 2,924.86 and 4,495.92 is: 6,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.86 : 4,495.92 = 4,495.92 : x
  2. Step 2: Convert to fraction form
    2,924.86/4,495.92 = 4,495.92/x
  3. Step 3: Cross multiply
    2,924.86x = 4,495.92 × 4,495.92
  4. Step 4: Simplify right side
    2,924.86x = 20,213,313.51
  5. Step 5: Solve for x
    x = 20,213,313.51/2,924.86
  6. Step 6: Final answer
    x = 6,910.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.