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Finding the Third Proportional to 17,114 and 25,078

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Solution

The third proportional to 17,114 and 25,078 is: 36,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114 : 25,078 = 25,078 : x
  2. Step 2: Convert to fraction form
    17,114/25,078 = 25,078/x
  3. Step 3: Cross multiply
    17,114x = 25,078 × 25,078
  4. Step 4: Simplify right side
    17,114x = 628,906,084
  5. Step 5: Solve for x
    x = 628,906,084/17,114
  6. Step 6: Final answer
    x = 36,748.05

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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.