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Finding the Third Proportional to 5,740.03 and 8,124.47

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Solution

The third proportional to 5,740.03 and 8,124.47 is: 11,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.03 : 8,124.47 = 8,124.47 : x
  2. Step 2: Convert to fraction form
    5,740.03/8,124.47 = 8,124.47/x
  3. Step 3: Cross multiply
    5,740.03x = 8,124.47 × 8,124.47
  4. Step 4: Simplify right side
    5,740.03x = 66,006,992.47
  5. Step 5: Solve for x
    x = 66,006,992.47/5,740.03
  6. Step 6: Final answer
    x = 11,499.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.