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Finding the Third Proportional to 28,102.10 and 43,539.24

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Solution

The third proportional to 28,102.10 and 43,539.24 is: 67,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102.10 : 43,539.24 = 43,539.24 : x
  2. Step 2: Convert to fraction form
    28,102.10/43,539.24 = 43,539.24/x
  3. Step 3: Cross multiply
    28,102.10x = 43,539.24 × 43,539.24
  4. Step 4: Simplify right side
    28,102.10x = 1,895,665,440.19
  5. Step 5: Solve for x
    x = 1,895,665,440.19/28,102.10
  6. Step 6: Final answer
    x = 67,456.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.