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Finding the Third Proportional to 28,314 and 42,467

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Solution

The third proportional to 28,314 and 42,467 is: 63,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,314 : 42,467 = 42,467 : x
  2. Step 2: Convert to fraction form
    28,314/42,467 = 42,467/x
  3. Step 3: Cross multiply
    28,314x = 42,467 × 42,467
  4. Step 4: Simplify right side
    28,314x = 1,803,446,089
  5. Step 5: Solve for x
    x = 1,803,446,089/28,314
  6. Step 6: Final answer
    x = 63,694.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.