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Finding the Third Proportional to 3,539.32 and 7,232.41

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Solution

The third proportional to 3,539.32 and 7,232.41 is: 14,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.32 : 7,232.41 = 7,232.41 : x
  2. Step 2: Convert to fraction form
    3,539.32/7,232.41 = 7,232.41/x
  3. Step 3: Cross multiply
    3,539.32x = 7,232.41 × 7,232.41
  4. Step 4: Simplify right side
    3,539.32x = 52,307,813.17
  5. Step 5: Solve for x
    x = 52,307,813.17/3,539.32
  6. Step 6: Final answer
    x = 14,779.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.