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Finding the Third Proportional to 1,632.66 and 3,695.20

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Solution

The third proportional to 1,632.66 and 3,695.20 is: 8,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.66 : 3,695.20 = 3,695.20 : x
  2. Step 2: Convert to fraction form
    1,632.66/3,695.20 = 3,695.20/x
  3. Step 3: Cross multiply
    1,632.66x = 3,695.20 × 3,695.20
  4. Step 4: Simplify right side
    1,632.66x = 13,654,526.14
  5. Step 5: Solve for x
    x = 13,654,526.14/1,632.66
  6. Step 6: Final answer
    x = 8,363.38

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.