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Finding the Third Proportional to 20,371.50 and 32,415

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Solution

The third proportional to 20,371.50 and 32,415 is: 51,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,371.50 : 32,415 = 32,415 : x
  2. Step 2: Convert to fraction form
    20,371.50/32,415 = 32,415/x
  3. Step 3: Cross multiply
    20,371.50x = 32,415 × 32,415
  4. Step 4: Simplify right side
    20,371.50x = 1,050,732,225
  5. Step 5: Solve for x
    x = 1,050,732,225/20,371.50
  6. Step 6: Final answer
    x = 51,578.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.