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Finding the Third Proportional to 8,416.38 and 18,225.63

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Solution

The third proportional to 8,416.38 and 18,225.63 is: 39,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.38 : 18,225.63 = 18,225.63 : x
  2. Step 2: Convert to fraction form
    8,416.38/18,225.63 = 18,225.63/x
  3. Step 3: Cross multiply
    8,416.38x = 18,225.63 × 18,225.63
  4. Step 4: Simplify right side
    8,416.38x = 332,173,406.64
  5. Step 5: Solve for x
    x = 332,173,406.64/8,416.38
  6. Step 6: Final answer
    x = 39,467.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.