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Finding the Third Proportional to 44,907.50 and 95,913

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Solution

The third proportional to 44,907.50 and 95,913 is: 204,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,907.50 : 95,913 = 95,913 : x
  2. Step 2: Convert to fraction form
    44,907.50/95,913 = 95,913/x
  3. Step 3: Cross multiply
    44,907.50x = 95,913 × 95,913
  4. Step 4: Simplify right side
    44,907.50x = 9,199,303,569
  5. Step 5: Solve for x
    x = 9,199,303,569/44,907.50
  6. Step 6: Final answer
    x = 204,850.05

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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.