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Finding the Third Proportional to 25,263 and 35,415

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Solution

The third proportional to 25,263 and 35,415 is: 49,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,263 : 35,415 = 35,415 : x
  2. Step 2: Convert to fraction form
    25,263/35,415 = 35,415/x
  3. Step 3: Cross multiply
    25,263x = 35,415 × 35,415
  4. Step 4: Simplify right side
    25,263x = 1,254,222,225
  5. Step 5: Solve for x
    x = 1,254,222,225/25,263
  6. Step 6: Final answer
    x = 49,646.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.