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Finding the Third Proportional to 1,632.66 and 2,483.16

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Solution

The third proportional to 1,632.66 and 2,483.16 is: 3,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.66 : 2,483.16 = 2,483.16 : x
  2. Step 2: Convert to fraction form
    1,632.66/2,483.16 = 2,483.16/x
  3. Step 3: Cross multiply
    1,632.66x = 2,483.16 × 2,483.16
  4. Step 4: Simplify right side
    1,632.66x = 6,166,064.96
  5. Step 5: Solve for x
    x = 6,166,064.96/1,632.66
  6. Step 6: Final answer
    x = 3,776.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.