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Finding the Third Proportional to 7,749.42 and 16,725.23

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Solution

The third proportional to 7,749.42 and 16,725.23 is: 36,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.42 : 16,725.23 = 16,725.23 : x
  2. Step 2: Convert to fraction form
    7,749.42/16,725.23 = 16,725.23/x
  3. Step 3: Cross multiply
    7,749.42x = 16,725.23 × 16,725.23
  4. Step 4: Simplify right side
    7,749.42x = 279,733,464.90
  5. Step 5: Solve for x
    x = 279,733,464.90/7,749.42
  6. Step 6: Final answer
    x = 36,097.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.