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Finding the Third Proportional to 7,639.50 and 17,850

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Solution

The third proportional to 7,639.50 and 17,850 is: 41,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.50 : 17,850 = 17,850 : x
  2. Step 2: Convert to fraction form
    7,639.50/17,850 = 17,850/x
  3. Step 3: Cross multiply
    7,639.50x = 17,850 × 17,850
  4. Step 4: Simplify right side
    7,639.50x = 318,622,500
  5. Step 5: Solve for x
    x = 318,622,500/7,639.50
  6. Step 6: Final answer
    x = 41,707.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.