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Finding the Third Proportional to 4,671.56 and 9,662.06

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Solution

The third proportional to 4,671.56 and 9,662.06 is: 19,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.56 : 9,662.06 = 9,662.06 : x
  2. Step 2: Convert to fraction form
    4,671.56/9,662.06 = 9,662.06/x
  3. Step 3: Cross multiply
    4,671.56x = 9,662.06 × 9,662.06
  4. Step 4: Simplify right side
    4,671.56x = 93,355,451.75
  5. Step 5: Solve for x
    x = 93,355,451.75/4,671.56
  6. Step 6: Final answer
    x = 19,983.77

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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.