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Finding the Third Proportional to 8,642.25 and 18,598.22

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Solution

The third proportional to 8,642.25 and 18,598.22 is: 40,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.25 : 18,598.22 = 18,598.22 : x
  2. Step 2: Convert to fraction form
    8,642.25/18,598.22 = 18,598.22/x
  3. Step 3: Cross multiply
    8,642.25x = 18,598.22 × 18,598.22
  4. Step 4: Simplify right side
    8,642.25x = 345,893,740.67
  5. Step 5: Solve for x
    x = 345,893,740.67/8,642.25
  6. Step 6: Final answer
    x = 40,023.57

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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.