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Finding the Third Proportional to 9,684 and 21,115.13

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Solution

The third proportional to 9,684 and 21,115.13 is: 46,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 21,115.13 = 21,115.13 : x
  2. Step 2: Convert to fraction form
    9,684/21,115.13 = 21,115.13/x
  3. Step 3: Cross multiply
    9,684x = 21,115.13 × 21,115.13
  4. Step 4: Simplify right side
    9,684x = 445,848,503.77
  5. Step 5: Solve for x
    x = 445,848,503.77/9,684
  6. Step 6: Final answer
    x = 46,039.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.