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Finding the Third Proportional to 9,684.56 and 21,561.19

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Solution

The third proportional to 9,684.56 and 21,561.19 is: 48,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.56 : 21,561.19 = 21,561.19 : x
  2. Step 2: Convert to fraction form
    9,684.56/21,561.19 = 21,561.19/x
  3. Step 3: Cross multiply
    9,684.56x = 21,561.19 × 21,561.19
  4. Step 4: Simplify right side
    9,684.56x = 464,884,806.41
  5. Step 5: Solve for x
    x = 464,884,806.41/9,684.56
  6. Step 6: Final answer
    x = 48,002.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.