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Finding the Third Proportional to 4,634.44 and 9,575.44

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Solution

The third proportional to 4,634.44 and 9,575.44 is: 19,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.44 : 9,575.44 = 9,575.44 : x
  2. Step 2: Convert to fraction form
    4,634.44/9,575.44 = 9,575.44/x
  3. Step 3: Cross multiply
    4,634.44x = 9,575.44 × 9,575.44
  4. Step 4: Simplify right side
    4,634.44x = 91,689,003.32
  5. Step 5: Solve for x
    x = 91,689,003.32/4,634.44
  6. Step 6: Final answer
    x = 19,784.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.