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Finding the Third Proportional to 5,007.38 and 7,493.06

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Solution

The third proportional to 5,007.38 and 7,493.06 is: 11,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.38 : 7,493.06 = 7,493.06 : x
  2. Step 2: Convert to fraction form
    5,007.38/7,493.06 = 7,493.06/x
  3. Step 3: Cross multiply
    5,007.38x = 7,493.06 × 7,493.06
  4. Step 4: Simplify right side
    5,007.38x = 56,145,985.63
  5. Step 5: Solve for x
    x = 56,145,985.63/5,007.38
  6. Step 6: Final answer
    x = 11,212.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.