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Finding the Third Proportional to 5,907.75 and 9,518.25

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Solution

The third proportional to 5,907.75 and 9,518.25 is: 15,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.75 : 9,518.25 = 9,518.25 : x
  2. Step 2: Convert to fraction form
    5,907.75/9,518.25 = 9,518.25/x
  3. Step 3: Cross multiply
    5,907.75x = 9,518.25 × 9,518.25
  4. Step 4: Simplify right side
    5,907.75x = 90,597,083.06
  5. Step 5: Solve for x
    x = 90,597,083.06/5,907.75
  6. Step 6: Final answer
    x = 15,335.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.