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Finding the Third Proportional to 8,413 and 16,415

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Solution

The third proportional to 8,413 and 16,415 is: 32,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413 : 16,415 = 16,415 : x
  2. Step 2: Convert to fraction form
    8,413/16,415 = 16,415/x
  3. Step 3: Cross multiply
    8,413x = 16,415 × 16,415
  4. Step 4: Simplify right side
    8,413x = 269,452,225
  5. Step 5: Solve for x
    x = 269,452,225/8,413
  6. Step 6: Final answer
    x = 32,028.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.