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Finding the Third Proportional to 9,519 and 14,830.50

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Solution

The third proportional to 9,519 and 14,830.50 is: 23,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519 : 14,830.50 = 14,830.50 : x
  2. Step 2: Convert to fraction form
    9,519/14,830.50 = 14,830.50/x
  3. Step 3: Cross multiply
    9,519x = 14,830.50 × 14,830.50
  4. Step 4: Simplify right side
    9,519x = 219,943,730.25
  5. Step 5: Solve for x
    x = 219,943,730.25/9,519
  6. Step 6: Final answer
    x = 23,105.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.