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Finding the Third Proportional to 9,420.75 and 13,847.25

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Solution

The third proportional to 9,420.75 and 13,847.25 is: 20,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.75 : 13,847.25 = 13,847.25 : x
  2. Step 2: Convert to fraction form
    9,420.75/13,847.25 = 13,847.25/x
  3. Step 3: Cross multiply
    9,420.75x = 13,847.25 × 13,847.25
  4. Step 4: Simplify right side
    9,420.75x = 191,746,332.56
  5. Step 5: Solve for x
    x = 191,746,332.56/9,420.75
  6. Step 6: Final answer
    x = 20,353.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.