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Finding the Third Proportional to 14,019 and 19,624.50

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Solution

The third proportional to 14,019 and 19,624.50 is: 27,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019 : 19,624.50 = 19,624.50 : x
  2. Step 2: Convert to fraction form
    14,019/19,624.50 = 19,624.50/x
  3. Step 3: Cross multiply
    14,019x = 19,624.50 × 19,624.50
  4. Step 4: Simplify right side
    14,019x = 385,121,000.25
  5. Step 5: Solve for x
    x = 385,121,000.25/14,019
  6. Step 6: Final answer
    x = 27,471.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.