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Finding the Third Proportional to 14,820.25 and 26,351

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Solution

The third proportional to 14,820.25 and 26,351 is: 46,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,820.25 : 26,351 = 26,351 : x
  2. Step 2: Convert to fraction form
    14,820.25/26,351 = 26,351/x
  3. Step 3: Cross multiply
    14,820.25x = 26,351 × 26,351
  4. Step 4: Simplify right side
    14,820.25x = 694,375,201
  5. Step 5: Solve for x
    x = 694,375,201/14,820.25
  6. Step 6: Final answer
    x = 46,853.14

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.