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Finding the Third Proportional to 1,232.59 and 1,805.64

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Solution

The third proportional to 1,232.59 and 1,805.64 is: 2,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.59 : 1,805.64 = 1,805.64 : x
  2. Step 2: Convert to fraction form
    1,232.59/1,805.64 = 1,805.64/x
  3. Step 3: Cross multiply
    1,232.59x = 1,805.64 × 1,805.64
  4. Step 4: Simplify right side
    1,232.59x = 3,260,323.30
  5. Step 5: Solve for x
    x = 3,260,323.30/1,232.59
  6. Step 6: Final answer
    x = 2,645.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.