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Finding the Third Proportional to 14,308.50 and 29,019

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Solution

The third proportional to 14,308.50 and 29,019 is: 58,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.50 : 29,019 = 29,019 : x
  2. Step 2: Convert to fraction form
    14,308.50/29,019 = 29,019/x
  3. Step 3: Cross multiply
    14,308.50x = 29,019 × 29,019
  4. Step 4: Simplify right side
    14,308.50x = 842,102,361
  5. Step 5: Solve for x
    x = 842,102,361/14,308.50
  6. Step 6: Final answer
    x = 58,853.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.