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Finding the Third Proportional to 14,229 and 26,473.50

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Solution

The third proportional to 14,229 and 26,473.50 is: 49,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229 : 26,473.50 = 26,473.50 : x
  2. Step 2: Convert to fraction form
    14,229/26,473.50 = 26,473.50/x
  3. Step 3: Cross multiply
    14,229x = 26,473.50 × 26,473.50
  4. Step 4: Simplify right side
    14,229x = 700,846,202.25
  5. Step 5: Solve for x
    x = 700,846,202.25/14,229
  6. Step 6: Final answer
    x = 49,254.78

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.