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Finding the Third Proportional to 4,569 and 9,830.75

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Solution

The third proportional to 4,569 and 9,830.75 is: 21,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569 : 9,830.75 = 9,830.75 : x
  2. Step 2: Convert to fraction form
    4,569/9,830.75 = 9,830.75/x
  3. Step 3: Cross multiply
    4,569x = 9,830.75 × 9,830.75
  4. Step 4: Simplify right side
    4,569x = 96,643,645.56
  5. Step 5: Solve for x
    x = 96,643,645.56/4,569
  6. Step 6: Final answer
    x = 21,152.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.