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Finding the Third Proportional to 14,014.75 and 19,624.88

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Solution

The third proportional to 14,014.75 and 19,624.88 is: 27,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014.75 : 19,624.88 = 19,624.88 : x
  2. Step 2: Convert to fraction form
    14,014.75/19,624.88 = 19,624.88/x
  3. Step 3: Cross multiply
    14,014.75x = 19,624.88 × 19,624.88
  4. Step 4: Simplify right side
    14,014.75x = 385,135,718.77
  5. Step 5: Solve for x
    x = 385,135,718.77/14,014.75
  6. Step 6: Final answer
    x = 27,480.74

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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.