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Finding the Third Proportional to 1,252.13 and 1,832.63

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Solution

The third proportional to 1,252.13 and 1,832.63 is: 2,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.13 : 1,832.63 = 1,832.63 : x
  2. Step 2: Convert to fraction form
    1,252.13/1,832.63 = 1,832.63/x
  3. Step 3: Cross multiply
    1,252.13x = 1,832.63 × 1,832.63
  4. Step 4: Simplify right side
    1,252.13x = 3,358,514.39
  5. Step 5: Solve for x
    x = 3,358,514.39/1,252.13
  6. Step 6: Final answer
    x = 2,682.25

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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.