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Finding the Third Proportional to 4,619.50 and 10,103

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Solution

The third proportional to 4,619.50 and 10,103 is: 22,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619.50 : 10,103 = 10,103 : x
  2. Step 2: Convert to fraction form
    4,619.50/10,103 = 10,103/x
  3. Step 3: Cross multiply
    4,619.50x = 10,103 × 10,103
  4. Step 4: Simplify right side
    4,619.50x = 102,070,609
  5. Step 5: Solve for x
    x = 102,070,609/4,619.50
  6. Step 6: Final answer
    x = 22,095.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.