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Finding the Third Proportional to 14,257 and 34,346.50

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Solution

The third proportional to 14,257 and 34,346.50 is: 82,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257 : 34,346.50 = 34,346.50 : x
  2. Step 2: Convert to fraction form
    14,257/34,346.50 = 34,346.50/x
  3. Step 3: Cross multiply
    14,257x = 34,346.50 × 34,346.50
  4. Step 4: Simplify right side
    14,257x = 1,179,682,062.25
  5. Step 5: Solve for x
    x = 1,179,682,062.25/14,257
  6. Step 6: Final answer
    x = 82,744.06

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.