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Finding the Third Proportional to 9,303 and 20,315

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Solution

The third proportional to 9,303 and 20,315 is: 44,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303 : 20,315 = 20,315 : x
  2. Step 2: Convert to fraction form
    9,303/20,315 = 20,315/x
  3. Step 3: Cross multiply
    9,303x = 20,315 × 20,315
  4. Step 4: Simplify right side
    9,303x = 412,699,225
  5. Step 5: Solve for x
    x = 412,699,225/9,303
  6. Step 6: Final answer
    x = 44,361.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.