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Finding the Third Proportional to 7,945.88 and 17,140.88

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Solution

The third proportional to 7,945.88 and 17,140.88 is: 36,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.88 : 17,140.88 = 17,140.88 : x
  2. Step 2: Convert to fraction form
    7,945.88/17,140.88 = 17,140.88/x
  3. Step 3: Cross multiply
    7,945.88x = 17,140.88 × 17,140.88
  4. Step 4: Simplify right side
    7,945.88x = 293,809,595.77
  5. Step 5: Solve for x
    x = 293,809,595.77/7,945.88
  6. Step 6: Final answer
    x = 36,976.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.