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Finding the Third Proportional to 4,217.02 and 9,762.48

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Solution

The third proportional to 4,217.02 and 9,762.48 is: 22,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.02 : 9,762.48 = 9,762.48 : x
  2. Step 2: Convert to fraction form
    4,217.02/9,762.48 = 9,762.48/x
  3. Step 3: Cross multiply
    4,217.02x = 9,762.48 × 9,762.48
  4. Step 4: Simplify right side
    4,217.02x = 95,305,967.70
  5. Step 5: Solve for x
    x = 95,305,967.70/4,217.02
  6. Step 6: Final answer
    x = 22,600.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.