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Finding the Third Proportional to 5,000.44 and 7,539.56

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Solution

The third proportional to 5,000.44 and 7,539.56 is: 11,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.44 : 7,539.56 = 7,539.56 : x
  2. Step 2: Convert to fraction form
    5,000.44/7,539.56 = 7,539.56/x
  3. Step 3: Cross multiply
    5,000.44x = 7,539.56 × 7,539.56
  4. Step 4: Simplify right side
    5,000.44x = 56,845,002.69
  5. Step 5: Solve for x
    x = 56,845,002.69/5,000.44
  6. Step 6: Final answer
    x = 11,368.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.