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Finding the Third Proportional to 9,683.44 and 21,209.63

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Solution

The third proportional to 9,683.44 and 21,209.63 is: 46,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.44 : 21,209.63 = 21,209.63 : x
  2. Step 2: Convert to fraction form
    9,683.44/21,209.63 = 21,209.63/x
  3. Step 3: Cross multiply
    9,683.44x = 21,209.63 × 21,209.63
  4. Step 4: Simplify right side
    9,683.44x = 449,848,192.64
  5. Step 5: Solve for x
    x = 449,848,192.64/9,683.44
  6. Step 6: Final answer
    x = 46,455.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.