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Finding the Third Proportional to 4,907.25 and 10,488.75

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Solution

The third proportional to 4,907.25 and 10,488.75 is: 22,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.25 : 10,488.75 = 10,488.75 : x
  2. Step 2: Convert to fraction form
    4,907.25/10,488.75 = 10,488.75/x
  3. Step 3: Cross multiply
    4,907.25x = 10,488.75 × 10,488.75
  4. Step 4: Simplify right side
    4,907.25x = 110,013,876.56
  5. Step 5: Solve for x
    x = 110,013,876.56/4,907.25
  6. Step 6: Final answer
    x = 22,418.64

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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.