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Finding the Third Proportional to 1,645.95 and 3,493.76

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Solution

The third proportional to 1,645.95 and 3,493.76 is: 7,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.95 : 3,493.76 = 3,493.76 : x
  2. Step 2: Convert to fraction form
    1,645.95/3,493.76 = 3,493.76/x
  3. Step 3: Cross multiply
    1,645.95x = 3,493.76 × 3,493.76
  4. Step 4: Simplify right side
    1,645.95x = 12,206,343.65
  5. Step 5: Solve for x
    x = 12,206,343.65/1,645.95
  6. Step 6: Final answer
    x = 7,416.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.