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Finding the Third Proportional to 4,581.88 and 9,998.12

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Solution

The third proportional to 4,581.88 and 9,998.12 is: 21,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581.88 : 9,998.12 = 9,998.12 : x
  2. Step 2: Convert to fraction form
    4,581.88/9,998.12 = 9,998.12/x
  3. Step 3: Cross multiply
    4,581.88x = 9,998.12 × 9,998.12
  4. Step 4: Simplify right side
    4,581.88x = 99,962,425.41
  5. Step 5: Solve for x
    x = 99,962,425.41/4,581.88
  6. Step 6: Final answer
    x = 21,816.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.