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Finding the Third Proportional to 26,185 and 37,415

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Solution

The third proportional to 26,185 and 37,415 is: 53,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,185 : 37,415 = 37,415 : x
  2. Step 2: Convert to fraction form
    26,185/37,415 = 37,415/x
  3. Step 3: Cross multiply
    26,185x = 37,415 × 37,415
  4. Step 4: Simplify right side
    26,185x = 1,399,882,225
  5. Step 5: Solve for x
    x = 1,399,882,225/26,185
  6. Step 6: Final answer
    x = 53,461.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.