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Finding the Third Proportional to 3,232.41 and 7,070.41

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Solution

The third proportional to 3,232.41 and 7,070.41 is: 15,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.41 : 7,070.41 = 7,070.41 : x
  2. Step 2: Convert to fraction form
    3,232.41/7,070.41 = 7,070.41/x
  3. Step 3: Cross multiply
    3,232.41x = 7,070.41 × 7,070.41
  4. Step 4: Simplify right side
    3,232.41x = 49,990,755.02
  5. Step 5: Solve for x
    x = 49,990,755.02/3,232.41
  6. Step 6: Final answer
    x = 15,465.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.