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Finding the Third Proportional to 14,074 and 30,315

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Solution

The third proportional to 14,074 and 30,315 is: 65,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074 : 30,315 = 30,315 : x
  2. Step 2: Convert to fraction form
    14,074/30,315 = 30,315/x
  3. Step 3: Cross multiply
    14,074x = 30,315 × 30,315
  4. Step 4: Simplify right side
    14,074x = 918,999,225
  5. Step 5: Solve for x
    x = 918,999,225/14,074
  6. Step 6: Final answer
    x = 65,297.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.