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Finding the Third Proportional to 9,639 and 21,363.75

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Solution

The third proportional to 9,639 and 21,363.75 is: 47,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639 : 21,363.75 = 21,363.75 : x
  2. Step 2: Convert to fraction form
    9,639/21,363.75 = 21,363.75/x
  3. Step 3: Cross multiply
    9,639x = 21,363.75 × 21,363.75
  4. Step 4: Simplify right side
    9,639x = 456,409,814.06
  5. Step 5: Solve for x
    x = 456,409,814.06/9,639
  6. Step 6: Final answer
    x = 47,350.33

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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.