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Finding the Third Proportional to 19,765.75 and 42,553.75

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Solution

The third proportional to 19,765.75 and 42,553.75 is: 91,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.75 : 42,553.75 = 42,553.75 : x
  2. Step 2: Convert to fraction form
    19,765.75/42,553.75 = 42,553.75/x
  3. Step 3: Cross multiply
    19,765.75x = 42,553.75 × 42,553.75
  4. Step 4: Simplify right side
    19,765.75x = 1,810,821,639.06
  5. Step 5: Solve for x
    x = 1,810,821,639.06/19,765.75
  6. Step 6: Final answer
    x = 91,614.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.