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Finding the Third Proportional to 4,573.97 and 9,808.59

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Solution

The third proportional to 4,573.97 and 9,808.59 is: 21,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.97 : 9,808.59 = 9,808.59 : x
  2. Step 2: Convert to fraction form
    4,573.97/9,808.59 = 9,808.59/x
  3. Step 3: Cross multiply
    4,573.97x = 9,808.59 × 9,808.59
  4. Step 4: Simplify right side
    4,573.97x = 96,208,511.35
  5. Step 5: Solve for x
    x = 96,208,511.35/4,573.97
  6. Step 6: Final answer
    x = 21,033.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.