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Finding the Third Proportional to 14,376.50 and 30,481

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Solution

The third proportional to 14,376.50 and 30,481 is: 64,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376.50 : 30,481 = 30,481 : x
  2. Step 2: Convert to fraction form
    14,376.50/30,481 = 30,481/x
  3. Step 3: Cross multiply
    14,376.50x = 30,481 × 30,481
  4. Step 4: Simplify right side
    14,376.50x = 929,091,361
  5. Step 5: Solve for x
    x = 929,091,361/14,376.50
  6. Step 6: Final answer
    x = 64,625.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.