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Finding the Third Proportional to 14,817 and 19,579.50

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Solution

The third proportional to 14,817 and 19,579.50 is: 25,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,817 : 19,579.50 = 19,579.50 : x
  2. Step 2: Convert to fraction form
    14,817/19,579.50 = 19,579.50/x
  3. Step 3: Cross multiply
    14,817x = 19,579.50 × 19,579.50
  4. Step 4: Simplify right side
    14,817x = 383,356,820.25
  5. Step 5: Solve for x
    x = 383,356,820.25/14,817
  6. Step 6: Final answer
    x = 25,872.77

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.