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Finding the Third Proportional to 4,636.50 and 10,309.75

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Solution

The third proportional to 4,636.50 and 10,309.75 is: 22,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.50 : 10,309.75 = 10,309.75 : x
  2. Step 2: Convert to fraction form
    4,636.50/10,309.75 = 10,309.75/x
  3. Step 3: Cross multiply
    4,636.50x = 10,309.75 × 10,309.75
  4. Step 4: Simplify right side
    4,636.50x = 106,290,945.06
  5. Step 5: Solve for x
    x = 106,290,945.06/4,636.50
  6. Step 6: Final answer
    x = 22,924.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.