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Finding the Third Proportional to 7,943.48 and 17,118.21

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Solution

The third proportional to 7,943.48 and 17,118.21 is: 36,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.48 : 17,118.21 = 17,118.21 : x
  2. Step 2: Convert to fraction form
    7,943.48/17,118.21 = 17,118.21/x
  3. Step 3: Cross multiply
    7,943.48x = 17,118.21 × 17,118.21
  4. Step 4: Simplify right side
    7,943.48x = 293,033,145.70
  5. Step 5: Solve for x
    x = 293,033,145.70/7,943.48
  6. Step 6: Final answer
    x = 36,889.75

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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.