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Finding the Third Proportional to 17,830.13 and 27,519.75

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Solution

The third proportional to 17,830.13 and 27,519.75 is: 42,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.13 : 27,519.75 = 27,519.75 : x
  2. Step 2: Convert to fraction form
    17,830.13/27,519.75 = 27,519.75/x
  3. Step 3: Cross multiply
    17,830.13x = 27,519.75 × 27,519.75
  4. Step 4: Simplify right side
    17,830.13x = 757,336,640.06
  5. Step 5: Solve for x
    x = 757,336,640.06/17,830.13
  6. Step 6: Final answer
    x = 42,475.12

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