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Finding the Third Proportional to 5,145.75 and 7,943.63

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Solution

The third proportional to 5,145.75 and 7,943.63 is: 12,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.75 : 7,943.63 = 7,943.63 : x
  2. Step 2: Convert to fraction form
    5,145.75/7,943.63 = 7,943.63/x
  3. Step 3: Cross multiply
    5,145.75x = 7,943.63 × 7,943.63
  4. Step 4: Simplify right side
    5,145.75x = 63,101,178.14
  5. Step 5: Solve for x
    x = 63,101,178.14/5,145.75
  6. Step 6: Final answer
    x = 12,262.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.