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Finding the Third Proportional to 5,000.48 and 7,278.61

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Solution

The third proportional to 5,000.48 and 7,278.61 is: 10,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.48 : 7,278.61 = 7,278.61 : x
  2. Step 2: Convert to fraction form
    5,000.48/7,278.61 = 7,278.61/x
  3. Step 3: Cross multiply
    5,000.48x = 7,278.61 × 7,278.61
  4. Step 4: Simplify right side
    5,000.48x = 52,978,154.43
  5. Step 5: Solve for x
    x = 52,978,154.43/5,000.48
  6. Step 6: Final answer
    x = 10,594.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.