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Finding the Third Proportional to 2,151.75 and 2,907.75

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Solution

The third proportional to 2,151.75 and 2,907.75 is: 3,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.75 : 2,907.75 = 2,907.75 : x
  2. Step 2: Convert to fraction form
    2,151.75/2,907.75 = 2,907.75/x
  3. Step 3: Cross multiply
    2,151.75x = 2,907.75 × 2,907.75
  4. Step 4: Simplify right side
    2,151.75x = 8,455,010.06
  5. Step 5: Solve for x
    x = 8,455,010.06/2,151.75
  6. Step 6: Final answer
    x = 3,929.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.