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Finding the Third Proportional to 4,767.45 and 9,970.59

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Solution

The third proportional to 4,767.45 and 9,970.59 is: 20,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.45 : 9,970.59 = 9,970.59 : x
  2. Step 2: Convert to fraction form
    4,767.45/9,970.59 = 9,970.59/x
  3. Step 3: Cross multiply
    4,767.45x = 9,970.59 × 9,970.59
  4. Step 4: Simplify right side
    4,767.45x = 99,412,739.73
  5. Step 5: Solve for x
    x = 99,412,739.73/4,767.45
  6. Step 6: Final answer
    x = 20,852.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.