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Finding the Third Proportional to 9,241.88 and 14,205.56

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Solution

The third proportional to 9,241.88 and 14,205.56 is: 21,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.88 : 14,205.56 = 14,205.56 : x
  2. Step 2: Convert to fraction form
    9,241.88/14,205.56 = 14,205.56/x
  3. Step 3: Cross multiply
    9,241.88x = 14,205.56 × 14,205.56
  4. Step 4: Simplify right side
    9,241.88x = 201,798,005.94
  5. Step 5: Solve for x
    x = 201,798,005.94/9,241.88
  6. Step 6: Final answer
    x = 21,835.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.