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Finding the Third Proportional to 17,830.13 and 27,514.69

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Solution

The third proportional to 17,830.13 and 27,514.69 is: 42,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.13 : 27,514.69 = 27,514.69 : x
  2. Step 2: Convert to fraction form
    17,830.13/27,514.69 = 27,514.69/x
  3. Step 3: Cross multiply
    17,830.13x = 27,514.69 × 27,514.69
  4. Step 4: Simplify right side
    17,830.13x = 757,058,028.22
  5. Step 5: Solve for x
    x = 757,058,028.22/17,830.13
  6. Step 6: Final answer
    x = 42,459.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.