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Finding the Third Proportional to 5,957.30 and 9,847.20

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Solution

The third proportional to 5,957.30 and 9,847.20 is: 16,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.30 : 9,847.20 = 9,847.20 : x
  2. Step 2: Convert to fraction form
    5,957.30/9,847.20 = 9,847.20/x
  3. Step 3: Cross multiply
    5,957.30x = 9,847.20 × 9,847.20
  4. Step 4: Simplify right side
    5,957.30x = 96,967,255.52
  5. Step 5: Solve for x
    x = 96,967,255.52/5,957.30
  6. Step 6: Final answer
    x = 16,277.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.