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Finding the Third Proportional to 17,110.13 and 25,074

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Solution

The third proportional to 17,110.13 and 25,074 is: 36,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,110.13 : 25,074 = 25,074 : x
  2. Step 2: Convert to fraction form
    17,110.13/25,074 = 25,074/x
  3. Step 3: Cross multiply
    17,110.13x = 25,074 × 25,074
  4. Step 4: Simplify right side
    17,110.13x = 628,705,476
  5. Step 5: Solve for x
    x = 628,705,476/17,110.13
  6. Step 6: Final answer
    x = 36,744.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.